Documentation Verification Report

Derivative

πŸ“ Source: Mathlib/Algebra/Polynomial/Derivative.lean

Statistics

MetricCount
Definitionsderivative, derivativeFinsupp
2
Theoremscoeff_derivative, coeff_iterate_derivative, degree_derivative_eq, degree_derivative_le, degree_derivative_lt, derivativeFinsupp_C, derivativeFinsupp_X, derivativeFinsupp_apply_apply, derivativeFinsupp_apply_toFun, derivativeFinsupp_derivative, derivativeFinsupp_map, derivativeFinsupp_one, derivative_C, derivative_C_mul, derivative_C_mul_X, derivative_C_mul_X_pow, derivative_C_mul_X_sq, derivative_X, derivative_X_add_C, derivative_X_add_C_pow, derivative_X_add_C_sq, derivative_X_pow, derivative_X_pow_succ, derivative_X_sq, derivative_X_sub_C, derivative_X_sub_C_pow, derivative_X_sub_C_sq, derivative_add, derivative_apply, derivative_comp, derivative_comp_one_sub_X, derivative_eval, derivative_evalβ‚‚_C, derivative_intCast, derivative_intCast_mul, derivative_map, derivative_monomial, derivative_monomial_succ, derivative_mul, derivative_natCast, derivative_natCast_mul, derivative_neg, derivative_ofNat, derivative_of_natDegree_zero, derivative_one, derivative_pow, derivative_pow_eq_zero, derivative_pow_succ, derivative_prod, derivative_prod_finset, derivative_smul, derivative_sq, derivative_sub, derivative_sum, derivative_zero, dvd_derivative_iff, dvd_iterate_derivative_pow, eq_C_of_derivative_eq_zero, eval_multiset_prod_X_sub_C_derivative, iterate_derivative_C, iterate_derivative_C_mul, iterate_derivative_X, iterate_derivative_X_add_pow, iterate_derivative_X_pow_eq_C_mul, iterate_derivative_X_pow_eq_natCast_mul, iterate_derivative_X_pow_eq_smul, iterate_derivative_X_sub_pow, iterate_derivative_X_sub_pow_self, iterate_derivative_comp_one_sub_X, iterate_derivative_derivative_mul_X, iterate_derivative_derivative_mul_X_sq, iterate_derivative_eq_factorial_smul_sum, iterate_derivative_eq_sum, iterate_derivative_eq_zero, iterate_derivative_eq_zero_of_degree_lt, iterate_derivative_intCast_mul, iterate_derivative_map, iterate_derivative_mul, iterate_derivative_mul_X, iterate_derivative_mul_X_pow, iterate_derivative_natCast_mul, iterate_derivative_neg, iterate_derivative_one, iterate_derivative_prod_X_sub_C, iterate_derivative_smul, iterate_derivative_sub, iterate_derivative_sum, iterate_derivative_zero, mem_support_derivative, natDegree_derivative_le, natDegree_derivative_lt, natDegree_eq_zero_of_derivative_eq_zero, natDegree_iterate_derivative, of_mem_support_derivative, pow_sub_dvd_iterate_derivative_of_pow_dvd, pow_sub_dvd_iterate_derivative_pow, pow_sub_one_dvd_derivative_of_pow_dvd, support_derivativeFinsupp_subset_range
98
Total100

Polynomial

Definitions

NameCategoryTheorems
derivative πŸ“–CompOp
246 mathmath: fderiv, Lagrange.eval_iterate_derivative_eq_sum, Derivation.apply_eval_eq, derivative_X_sq, coeff_derivative, derivWithin_aeval, derivative_intCast_mul, eval_minpolyDiv_self, expNegInvGlue.hasDerivAt_polynomial_eval_inv_mul, derivative_C_mul, evalβ‚‚_minpolyDiv_self, iterate_derivative_zero, card_rootSet_le_derivative, derivative_mul, Chebyshev.one_sub_X_sq_mul_derivative_derivative_U_eq_poly_in_U, Lagrange.derivative_nodal, hensels_lemma, rootMultiplicity_sub_one_le_derivative_rootMultiplicity_of_ne_zero, evalβ‚‚_minpolyDiv_of_evalβ‚‚_eq_zero, hasseDeriv_one', derivative_comp_one_sub_X, derivative_pow_eq_zero, aeval_iterate_derivative_of_ge, derivative_expand, derivative_sum, isCoveringMapOn_eval, derivative_pow_succ, sum_smul_minpolyDiv_eq_X_pow, derivative_ofNat, Splits.eval_derivative, derivative_smul, iterate_derivative_eq_factorial_smul_sum, iterate_derivative_X_add_pow, eval_minpolyDiv_of_aeval_eq_zero, derivative_X, dvd_iterate_derivative_pow, KaehlerDifferential.polynomialEquiv_D, abc, Splits.eval_root_derivative, derivative_monomial, Chebyshev.T_derivative_eq_U, aeval_iterate_derivative_self, Chebyshev.iterate_derivative_T_eval_one_recurrence, rootMultiplicity_sub_one_le_derivative_rootMultiplicity, Bivariate.Polynomial.Bivariate.pderiv_one_equivMvPolynomial, Matrix.derivative_det_one_add_X_smul, derivative_rootMultiplicity_of_root, iterate_derivative_mul_X, sumIDeriv_eq_self_add, iterate_derivative_X, Splits.eval_derivative_eq_eval_mul_sum, divByMonic_add_X_sub_C_mul_derivative_divByMonic_eq_derivative, derivative'_apply, mem_support_derivative, card_roots_le_derivative, derivative_eval, iterate_derivative_X_sub_pow, Algebra.discr_powerBasis_eq_norm, derivative_X_sub_C_sq, eval_derivative_of_splits, divRadical_dvd_derivative, aeval_add_of_sq_eq_zero, derivativeFinsupp_apply_toFun, deriv_aeval, iterate_derivative_derivative_mul_X_sq, Derivation.comp_aeval_eq, card_roots_toFinset_le_card_roots_derivative_diff_roots_succ, derivative_X_add_C, hermite_succ, hermite_eq_iterate, iterate_derivative_natCast_mul, bernsteinPolynomial.iterate_derivative_at_1_eq_zero_of_lt, derivative_X_pow_succ, pow_sub_one_dvd_derivative_of_pow_dvd, derivative_X_sub_C_pow, derivWithin, Chebyshev.one_sub_X_sq_mul_derivative_T_eq_poly_in_T, exists_iterate_derivative_eq_factorial_smul, traceForm_dualSubmodule_adjoin, derivativeFinsupp_apply_apply, eval_derivative_eq_eval_mul_sum_of_splits, iterate_derivative_comp_one_sub_X, degree_derivative_lt, derivative_natCast_mul, fderiv_aeval, Splits.eval_derivative_div_eval_of_ne_zero, derivativeFinsupp_derivative, degree_derivative_eq, rootSet_derivative_subset_convexHull_rootSet, Chebyshev.iterate_derivative_T_eval_zero_recurrence, iterate_derivative_X_pow_eq_natCast_mul, Chebyshev.abs_iterate_derivative_T_real_le, lt_rootMultiplicity_iff_isRoot_iterate_derivative_of_mem_nonZeroDivisors, hasFDerivAt, WeierstrassCurve.Affine.derivative_addPolynomial_slope, separable_def', derivative_of_natDegree_zero, lt_rootMultiplicity_iff_isRoot_iterate_derivative, PowerSeries.derivativeFun_coe, iterate_derivative_C, derivative_C_mul_X, eval_iterate_derivative_rootMultiplicity, iterate_derivative_derivative_mul_X, Chebyshev.add_one_mul_self_mul_T_eq_poly_in_T, iterate_derivative_eq_zero, derivative_rootMultiplicity_of_root_of_mem_nonZeroDivisors, iterate_derivative_X_pow_eq_smul, Chebyshev.derivative_U_eval_one, StandardEtalePresentation.toSubmersivePresentation_jacobian, X_sub_C_dvd_derivative_of_X_sub_C_dvd_divByMonic, Lagrange.iterate_derivative_interpolate, pow_sub_dvd_iterate_derivative_pow, hasFDerivAt_aeval, natDegree_derivative_le, iterate_derivative_eq_sum, Chebyshev.iterate_derivative_U_eval_zero_recurrence, sumIDeriv_apply, sylvesterDeriv_updateRow, dvd_derivative_iff, Chebyshev.eval_iterate_derivative_le_of_forall_abs_le_one, eval_derivative_div_eval_of_ne_zero_of_splits, Chebyshev.one_sub_X_sq_mul_iterate_derivative_U_eval, derivative_comp, derivative_sq, one_lt_rootMultiplicity_iff_isRoot_gcd, hasDerivWithinAt_aeval, hasStrictDerivAt_aeval, bernsteinPolynomial.iterate_derivative_succ_at_0_eq_zero, iterate_derivative_eq_zero_of_degree_lt, isRoot_iterate_derivative_of_lt_rootMultiplicity, iterate_derivative_prod_X_sub_C, Chebyshev.iterate_derivative_U_eval_one_recurrence, factorial_mul_shiftedLegendre_eq, Chebyshev.one_sub_X_sq_mul_derivative_derivative_T_eq_poly_in_T, separable_def, iterate_derivative_smul, coeff_iterate_derivative, Chebyshev.T_iterate_derivative_mem_span_T, derivative_evalβ‚‚_C, PowerSeries.derivative_coe, aeval_derivative_of_splits, derivative_pow, derivative_prod, Chebyshev.iterate_derivative_U_eval_one, iterate_derivative_C_mul, mkDerivation_one_eq_derivative, iterate_derivative_mul_X_pow, taylor_coeff_one, fderivWithin_aeval, Chebyshev.eval_iterate_derivative_eq_iff_of_bounded, fderivWithin, hasDerivAt, iterate_derivative_sub, Derivation.map_aeval, aeval_derivative_mem_differentIdeal, iterate_derivative_X_pow_eq_C_mul, derivative_X_pow, sumIDeriv_derivative, StandardEtalePair.HasMap.isUnit_derivative_f, IsCoprime.wronskian_eq_zero_iff, KaehlerDifferential.polynomial_D_apply, newtonMap_apply_of_isUnit, exists_derivative_mul_eq_and_isIntegral_coeff, factorial_smul_hasseDeriv, Chebyshev.one_sub_X_sq_mul_iterate_derivative_T_eq_poly_in_T, hasDerivAt_aeval, aeval_root_derivative_of_splits, iterate_derivative_neg, derivative_prod_finset, Differential.deriv_aeval_eq, StandardEtalePair.cond, derivative_sub, hasStrictDerivAt, derivative_monomial_succ, resultant_deriv, Derivation.compAEval_eq, bernsteinPolynomial.derivative_succ, pow_sub_dvd_iterate_derivative_of_pow_dvd, iterate_derivative_X_sub_pow_self, derivative_neg, deriv, hasFDerivWithinAt_aeval, derivative_C_mul_X_pow, derivative_C, derivative_bernoulli_add_one, evalβ‚‚_derivative_of_splits, Chebyshev.iterate_derivative_U_eval_one_eq_div, Chebyshev.iterate_derivative_T_eval_one, conductor_mul_differentIdeal, derivative_zero, derivative_X_add_C_sq, one_lt_rootMultiplicity_iff_isRoot_iterate_derivative, newtonMap_apply, Derivation.apply_aeval_eq', natDegree_iterate_derivative, eval_add_of_sq_eq_zero, derivative_X_add_C_pow, hasseDeriv_one, iterate_derivative_mul, aeval_iterate_derivative_of_lt, derivative_map, iterate_derivative_intCast_mul, Lagrange.eval_nodal_derivative_eval_node_eq, Module.Basis.traceDual_powerBasis_eq, derivative_natCast, derivative_bernoulli, bernsteinPolynomial.derivative_zero, iterate_derivative_map, sumIDeriv_apply_of_le, Bivariate.pderiv_one_equivMvPolynomial, bernsteinPolynomial.iterate_derivative_at_0_eq_zero_of_lt, bernsteinPolynomial.iterate_derivative_at_0, Chebyshev.derivative_U_eval_one_eq_div, hasFDerivWithinAt, iterate_derivative_one, natDegree_derivative_lt, Chebyshev.one_sub_X_sq_mul_iterate_derivative_U_eq_poly_in_U, one_lt_rootMultiplicity_iff_isRoot, PowerSeries.trunc_derivativeFun, Matrix.derivative_det_one_add_X_smul_aux, hasDerivWithinAt, PowerSeries.trunc_derivative, bernsteinPolynomial.derivative_succ_aux, derivative_X_sub_C, card_roots_toFinset_le_derivative, iterate_derivative_sum, Chebyshev.one_sub_X_sq_mul_iterate_derivative_T_eval, sumIDeriv_apply_of_lt, degree_derivative_le, Chebyshev.iterate_derivative_T_eval_one_eq_div, isRoot_of_isRoot_iff_dvd_derivative_mul, derivative_one, Chebyshev.derivative_T_eval_one, derivative_apply, mkDerivation_apply, Chebyshev.add_one_mul_T_eq_poly_in_U, derivative_C_mul_X_sq, eval_multiset_prod_X_sub_C_derivative, Chebyshev.T_derivative_mem_span_T, lt_rootMultiplicity_iff_isRoot_iterate_derivative_of_mem_nonZeroDivisors', bernsteinPolynomial.iterate_derivative_at_1, Lagrange.nodalWeight_eq_eval_derivative_nodal, derivative_intCast, derivative_add, Derivation.apply_aeval_eq, PowerSeries.trunc_derivative'
derivativeFinsupp πŸ“–CompOp
8 mathmath: derivativeFinsupp_apply_toFun, derivativeFinsupp_apply_apply, derivativeFinsupp_derivative, derivativeFinsupp_map, derivativeFinsupp_one, support_derivativeFinsupp_subset_range, derivativeFinsupp_C, derivativeFinsupp_X

Theorems

NameKindAssumesProvesValidatesDepends On
coeff_derivative πŸ“–mathematicalβ€”coeff
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
Distrib.toAdd
AddMonoidWithOne.toNatCast
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
AddMonoidWithOne.toOne
β€”derivative_apply
coeff_sum
coeff_C_mul
coeff_X_pow
sum.eq_1
Finset.sum_eq_single
Nat.cast_zero
MulZeroClass.mul_zero
MulZeroClass.zero_mul
Nat.cast_add
Nat.cast_one
add_tsub_cancel_right
Nat.instOrderedSub
IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT
instIsLeftCancelAddOfAddLeftReflectLE
IsOrderedCancelAddMonoid.toAddLeftReflectLE
Nat.instIsOrderedCancelAddMonoid
contravariant_lt_of_covariant_le
IsOrderedAddMonoid.toAddLeftMono
Nat.instIsOrderedAddMonoid
mul_one
add_zero
coeff_iterate_derivative πŸ“–mathematicalβ€”coeff
Nat.iterate
Polynomial
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
AddMonoid.toNSMul
AddMonoidWithOne.toAddMonoid
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
Nat.descFactorial
β€”add_zero
one_smul
Function.iterate_succ_apply'
coeff_derivative
Nat.cast_add_one
nsmul_eq_mul'
smul_smul
Nat.descFactorial_succ
add_tsub_cancel_right
Nat.instOrderedSub
IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT
instIsLeftCancelAddOfAddLeftReflectLE
IsOrderedCancelAddMonoid.toAddLeftReflectLE
Nat.instIsOrderedCancelAddMonoid
contravariant_lt_of_covariant_le
IsOrderedAddMonoid.toAddLeftMono
Nat.instIsOrderedAddMonoid
degree_derivative_eq πŸ“–mathematicalnatDegreedegree
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
WithBot
WithBot.natCast
natDegree
β€”le_antisymm
derivative_apply
le_trans
degree_sum_le
Finset.sup_le
degree_C_mul_X_pow_le
WithBot.coe_le_coe
tsub_le_tsub_right
Nat.instOrderedSub
le_natDegree_of_mem_supp
Finset.le_sup
mem_support_derivative
tsub_add_cancel_of_le
CanonicallyOrderedAdd.toExistsAddOfLE
Nat.instCanonicallyOrderedAdd
IsOrderedAddMonoid.toAddLeftMono
Nat.instIsOrderedAddMonoid
mem_support_iff
coeff_natDegree
leadingCoeff_eq_zero
LT.lt.false
natDegree_zero
degree_derivative_le πŸ“–mathematicalβ€”WithBot
Preorder.toLE
WithBot.instPreorder
Nat.instPreorder
degree
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
β€”le_of_eq
derivative_zero
LT.lt.le
degree_derivative_lt
degree_derivative_lt πŸ“–mathematicalβ€”WithBot
Preorder.toLT
WithBot.instPreorder
Nat.instPreorder
degree
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
β€”Finset.sup_lt_iff
bot_lt_iff_ne_bot
degree_eq_bot
lt_of_lt_of_le
WithBot.coe_lt_coe
Finset.le_sup
of_mem_support_derivative
derivativeFinsupp_C πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
Finsupp
instZero
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
Finsupp.instAddCommMonoid
module
Semiring.toModule
Finsupp.module
LinearMap.instFunLike
derivativeFinsupp
RingHom
RingHom.instFunLike
C
Finsupp.single
β€”Finsupp.ext
Finsupp.single_eq_same
iterate_derivative_C
IsRightCancelAdd.addRightStrictMono_of_addRightMono
instIsRightCancelAddOfAddRightReflectLE
contravariant_swap_add_of_contravariant_add
IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT
instIsLeftCancelAddOfAddLeftReflectLE
IsOrderedCancelAddMonoid.toAddLeftReflectLE
Nat.instIsOrderedCancelAddMonoid
contravariant_lt_of_covariant_le
IsOrderedAddMonoid.toAddLeftMono
Nat.instIsOrderedAddMonoid
covariant_swap_add_of_covariant_add
Nat.instNoMaxOrder
Nat.instCanonicallyOrderedAdd
Finsupp.single_eq_of_ne
derivativeFinsupp_X πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
Finsupp
instZero
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
Finsupp.instAddCommMonoid
module
Semiring.toModule
Finsupp.module
LinearMap.instFunLike
derivativeFinsupp
X
Finsupp.instAdd
AddMonoid.toAddZeroClass
AddMonoidWithOne.toAddMonoid
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
Finsupp.single
instOne
β€”Finsupp.ext
Finsupp.single_eq_same
Finsupp.single_eq_of_ne
add_zero
Function.iterate_one
derivative_X
zero_add
iterate_derivative_X
IsRightCancelAdd.addRightStrictMono_of_addRightMono
instIsRightCancelAddOfAddRightReflectLE
contravariant_swap_add_of_contravariant_add
IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT
instIsLeftCancelAddOfAddLeftReflectLE
IsOrderedCancelAddMonoid.toAddLeftReflectLE
Nat.instIsOrderedCancelAddMonoid
contravariant_lt_of_covariant_le
IsOrderedAddMonoid.toAddLeftMono
Nat.instIsOrderedAddMonoid
covariant_swap_add_of_covariant_add
Nat.instNoMaxOrder
Nat.instCanonicallyOrderedAdd
Nat.instCharZero
Nat.instAtLeastTwoHAddOfNat
derivativeFinsupp_apply_apply πŸ“–mathematicalβ€”DFunLike.coe
Finsupp
Polynomial
instZero
Finsupp.instFunLike
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
Finsupp.instAddCommMonoid
module
Semiring.toModule
Finsupp.module
LinearMap.instFunLike
derivativeFinsupp
Nat.iterate
derivative
β€”β€”
derivativeFinsupp_apply_toFun πŸ“–mathematicalβ€”DFunLike.coe
Finsupp
Polynomial
instZero
Finsupp.instFunLike
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
Finsupp.instAddCommMonoid
module
Semiring.toModule
Finsupp.module
LinearMap.instFunLike
derivativeFinsupp
Nat.iterate
derivative
β€”derivativeFinsupp_apply_apply
derivativeFinsupp_derivative πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
Finsupp
instZero
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
Finsupp.instAddCommMonoid
module
Semiring.toModule
Finsupp.module
LinearMap.instFunLike
derivativeFinsupp
derivative
Finsupp.comapDomain
Function.Injective.injOn
Nat.succ_injective
Set.preimage
SetLike.coe
Finset
Finset.instSetLike
Finsupp.support
β€”Finsupp.ext
Function.Injective.injOn
Nat.succ_injective
derivativeFinsupp_map πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
Finsupp
instZero
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
Finsupp.instAddCommMonoid
module
Semiring.toModule
Finsupp.module
LinearMap.instFunLike
derivativeFinsupp
map
Finsupp.mapRange
β€”Finsupp.ext
iterate_derivative_map
derivativeFinsupp_one πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
Finsupp
instZero
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
Finsupp.instAddCommMonoid
module
Semiring.toModule
Finsupp.module
LinearMap.instFunLike
derivativeFinsupp
instOne
Finsupp.single
β€”map_one
MonoidHomClass.toOneHomClass
MonoidWithZeroHomClass.toMonoidHomClass
RingHomClass.toMonoidWithZeroHomClass
RingHom.instRingHomClass
derivativeFinsupp_C
derivative_C πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
RingHom
RingHom.instFunLike
C
instZero
β€”map_mul
NonUnitalRingHomClass.toMulHomClass
RingHomClass.toNonUnitalRingHomClass
RingHom.instRingHomClass
map_natCast
sum_C_index
map_zero
MonoidWithZeroHomClass.toZeroHomClass
RingHomClass.toMonoidWithZeroHomClass
Nat.cast_zero
MulZeroClass.mul_zero
zero_tsub
Nat.instCanonicallyOrderedAdd
Nat.instOrderedSub
pow_zero
mul_one
derivative_C_mul πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instMul
RingHom
RingHom.instFunLike
C
β€”iterate_derivative_C_mul
derivative_C_mul_X πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instMul
RingHom
RingHom.instFunLike
C
X
β€”C_mul_X_eq_monomial
derivative_monomial_succ
Nat.cast_zero
zero_add
mul_one
derivative_C_mul_X_pow πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instMul
RingHom
RingHom.instFunLike
C
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
X
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
AddMonoidWithOne.toNatCast
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
β€”C_mul_X_pow_eq_monomial
derivative_monomial
derivative_C_mul_X_sq πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instMul
RingHom
RingHom.instFunLike
C
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
X
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
instOfNatAtLeastTwo
AddMonoidWithOne.toNatCast
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
Nat.instAtLeastTwoHAddOfNat
β€”Nat.instAtLeastTwoHAddOfNat
derivative_C_mul_X_pow
Nat.cast_two
pow_one
derivative_X πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
X
instOne
β€”derivative_monomial
tsub_self
Nat.instCanonicallyOrderedAdd
Nat.instOrderedSub
Nat.cast_one
mul_one
map_one
MonoidHomClass.toOneHomClass
MonoidWithZeroHomClass.toMonoidHomClass
RingHomClass.toMonoidWithZeroHomClass
RingHom.instRingHomClass
derivative_X_add_C πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instAdd
X
RingHom
RingHom.instFunLike
C
instOne
β€”derivative_add
derivative_X
derivative_C
add_zero
derivative_X_add_C_pow πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
instAdd
X
RingHom
RingHom.instFunLike
C
instMul
AddMonoidWithOne.toNatCast
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
β€”derivative_pow
derivative_X_add_C
mul_one
derivative_X_add_C_sq πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
instAdd
X
RingHom
RingHom.instFunLike
C
instMul
instOfNatAtLeastTwo
AddMonoidWithOne.toNatCast
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
Nat.instAtLeastTwoHAddOfNat
β€”Nat.instAtLeastTwoHAddOfNat
derivative_sq
derivative_X_add_C
mul_one
derivative_X_pow πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
X
instMul
RingHom
RingHom.instFunLike
C
AddMonoidWithOne.toNatCast
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
β€”map_one
MonoidHomClass.toOneHomClass
MonoidWithZeroHomClass.toMonoidHomClass
RingHomClass.toMonoidWithZeroHomClass
RingHom.instRingHomClass
one_mul
derivative_C_mul_X_pow
derivative_X_pow_succ πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
X
instMul
RingHom
RingHom.instFunLike
C
Distrib.toAdd
NonUnitalNonAssocSemiring.toDistrib
AddMonoidWithOne.toNatCast
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
AddMonoidWithOne.toOne
β€”derivative_X_pow
Nat.cast_add
Nat.cast_one
map_add
AddMonoidHomClass.toAddHomClass
RingHomClass.toAddMonoidHomClass
RingHom.instRingHomClass
map_natCast
map_one
MonoidHomClass.toOneHomClass
MonoidWithZeroHomClass.toMonoidHomClass
RingHomClass.toMonoidWithZeroHomClass
add_tsub_cancel_right
Nat.instOrderedSub
IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT
instIsLeftCancelAddOfAddLeftReflectLE
IsOrderedCancelAddMonoid.toAddLeftReflectLE
Nat.instIsOrderedCancelAddMonoid
contravariant_lt_of_covariant_le
IsOrderedAddMonoid.toAddLeftMono
Nat.instIsOrderedAddMonoid
derivative_X_sq πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
X
instMul
RingHom
RingHom.instFunLike
C
instOfNatAtLeastTwo
AddMonoidWithOne.toNatCast
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
Nat.instAtLeastTwoHAddOfNat
β€”Nat.instAtLeastTwoHAddOfNat
derivative_X_pow
Nat.cast_two
pow_one
derivative_X_sub_C πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
Ring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instSub
X
RingHom
RingHom.instFunLike
C
instOne
β€”derivative_sub
derivative_X
derivative_C
sub_zero
derivative_X_sub_C_pow πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
CommSemiring.toSemiring
CommRing.toCommSemiring
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
instSub
CommRing.toRing
X
RingHom
RingHom.instFunLike
C
instMul
AddMonoidWithOne.toNatCast
AddGroupWithOne.toAddMonoidWithOne
Ring.toAddGroupWithOne
β€”derivative_pow
derivative_X_sub_C
mul_one
derivative_X_sub_C_sq πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
CommSemiring.toSemiring
CommRing.toCommSemiring
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
instSub
CommRing.toRing
X
RingHom
RingHom.instFunLike
C
instMul
instOfNatAtLeastTwo
AddMonoidWithOne.toNatCast
AddGroupWithOne.toAddMonoidWithOne
Ring.toAddGroupWithOne
Nat.instAtLeastTwoHAddOfNat
β€”Nat.instAtLeastTwoHAddOfNat
derivative_sq
derivative_X_sub_C
mul_one
derivative_add πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instAdd
β€”LinearMap.map_add
derivative_apply πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
sum
instMul
RingHom
RingHom.instFunLike
C
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
AddMonoidWithOne.toNatCast
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
X
β€”β€”
derivative_comp πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
comp
instMul
β€”induction_on'
add_comp
derivative_add
mul_add
Distrib.leftDistribClass
monomial_comp
derivative_mul
derivative_C
MulZeroClass.zero_mul
derivative_pow
C_eq_natCast
zero_add
derivative_monomial
map_mul
NonUnitalRingHomClass.toMulHomClass
RingHomClass.toNonUnitalRingHomClass
RingHom.instRingHomClass
Mathlib.Tactic.Ring.of_eq
Mathlib.Tactic.Ring.mul_congr
Mathlib.Tactic.Ring.atom_pf
Mathlib.Tactic.Ring.pow_congr
Mathlib.Tactic.Ring.pow_add
Mathlib.Tactic.Ring.single_pow
Mathlib.Tactic.Ring.mul_pow
Mathlib.Tactic.Ring.mul_pf_right
Mathlib.Tactic.Ring.one_mul
Mathlib.Tactic.Ring.one_pow
Mathlib.Tactic.Ring.pow_zero
Mathlib.Tactic.Ring.add_mul
Mathlib.Tactic.Ring.mul_add
Mathlib.Tactic.Ring.mul_pf_left
Mathlib.Tactic.Ring.mul_zero
Mathlib.Tactic.Ring.add_pf_add_zero
Mathlib.Tactic.Ring.zero_mul
derivative_comp_one_sub_X πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
CommSemiring.toSemiring
CommRing.toCommSemiring
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
comp
instSub
CommRing.toRing
instOne
X
instNeg
β€”derivative_comp
derivative_sub
derivative_one
derivative_X
zero_sub
neg_mul
one_mul
derivative_eval πŸ“–mathematicalβ€”eval
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
sum
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
AddMonoidWithOne.toNatCast
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
β€”eval_sum
eval_mul_X_pow
eval_C
derivative_evalβ‚‚_C πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
evalβ‚‚
C
instMul
β€”induction_on
evalβ‚‚_C
derivative_C
evalβ‚‚_zero
MulZeroClass.zero_mul
evalβ‚‚_add
derivative_add
add_mul
Distrib.rightDistribClass
pow_succ
mul_assoc
evalβ‚‚_mul
evalβ‚‚_X
derivative_mul
derivative_X
mul_one
mul_right_comm
derivative_intCast πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
Ring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instIntCast
instZero
β€”C_eq_intCast
derivative_C
derivative_intCast_mul πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
Ring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instMul
instIntCast
β€”derivative_mul
derivative_intCast
MulZeroClass.zero_mul
zero_add
derivative_map πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
map
β€”derivative_apply
sum_over_range'
MulZeroClass.zero_mul
C_0
LE.le.trans_lt
le_max_left
lt_add_one
Nat.instZeroLEOneClass
IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono
instIsLeftCancelAddOfAddLeftReflectLE
IsOrderedCancelAddMonoid.toAddLeftReflectLE
Nat.instIsOrderedCancelAddMonoid
IsOrderedAddMonoid.toAddLeftMono
Nat.instIsOrderedAddMonoid
le_max_right
Finset.sum_congr
coeff_map
map_mul
NonUnitalRingHomClass.toMulHomClass
RingHomClass.toNonUnitalRingHomClass
RingHom.instRingHomClass
map_natCast
map_sum
map_mul
map_C
map_natCast
map_pow
map_X
derivative_monomial πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
monomial
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
AddMonoidWithOne.toNatCast
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
β€”derivative_apply
sum_monomial_index
MulZeroClass.zero_mul
map_zero
MonoidWithZeroHomClass.toZeroHomClass
RingHomClass.toMonoidWithZeroHomClass
RingHom.instRingHomClass
C_mul_X_pow_eq_monomial
derivative_monomial_succ πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
monomial
Distrib.toMul
NonUnitalNonAssocSemiring.toDistrib
Distrib.toAdd
AddMonoidWithOne.toNatCast
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
AddMonoidWithOne.toOne
β€”derivative_monomial
add_tsub_cancel_right
Nat.instOrderedSub
IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT
instIsLeftCancelAddOfAddLeftReflectLE
IsOrderedCancelAddMonoid.toAddLeftReflectLE
Nat.instIsOrderedCancelAddMonoid
contravariant_lt_of_covariant_le
IsOrderedAddMonoid.toAddLeftMono
Nat.instIsOrderedAddMonoid
Nat.cast_add
Nat.cast_one
derivative_mul πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instMul
instAdd
β€”induction_on'
add_mul
Distrib.rightDistribClass
map_add
SemilinearMapClass.toAddHomClass
LinearMap.semilinearMapClass
add_assoc
add_left_comm
mul_add
Distrib.leftDistribClass
monomial_mul_monomial
derivative_monomial
Nat.cast_add
mul_assoc
Commute.eq
Nat.cast_commute
zero_add
Nat.cast_zero
MulZeroClass.mul_zero
map_zero
AddMonoidHomClass.toZeroHomClass
DistribMulActionSemiHomClass.toAddMonoidHomClass
SemilinearMapClass.distribMulActionSemiHomClass
add_zero
derivative_natCast πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instNatCast
instZero
β€”map_natCast
RingHom.instRingHomClass
derivative_C
derivative_natCast_mul πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instMul
instNatCast
β€”derivative_mul
derivative_natCast
MulZeroClass.zero_mul
zero_add
derivative_neg πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
Ring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instNeg
β€”map_neg
DistribMulActionSemiHomClass.toAddMonoidHomClass
SemilinearMapClass.distribMulActionSemiHomClass
LinearMap.semilinearMapClass
derivative_ofNat πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instZero
β€”derivative_natCast
derivative_of_natDegree_zero πŸ“–mathematicalnatDegreeDFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instZero
β€”eq_C_of_natDegree_eq_zero
derivative_C
derivative_one πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instOne
instZero
β€”derivative_C
derivative_pow πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
instMul
RingHom
RingHom.instFunLike
C
AddMonoidWithOne.toNatCast
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
β€”pow_zero
derivative_one
Nat.cast_zero
map_zero
MonoidWithZeroHomClass.toZeroHomClass
RingHomClass.toMonoidWithZeroHomClass
RingHom.instRingHomClass
zero_tsub
Nat.instCanonicallyOrderedAdd
Nat.instOrderedSub
mul_one
MulZeroClass.zero_mul
derivative_pow_succ
Nat.cast_succ
derivative_pow_eq_zero πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
instZero
β€”derivative_pow
map_natCast
RingHom.instRingHomClass
instNoZeroDivisors
C_eq_natCast
C_ne_zero
isReduced_of_noZeroDivisors
nontrivial
nontrivial_of_ne
derivative_zero
derivative_pow_succ πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
instMul
RingHom
RingHom.instFunLike
C
Distrib.toAdd
NonUnitalNonAssocSemiring.toDistrib
AddMonoidWithOne.toNatCast
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
AddMonoidWithOne.toOne
β€”zero_add
pow_one
Nat.cast_zero
map_one
MonoidHomClass.toOneHomClass
MonoidWithZeroHomClass.toMonoidHomClass
RingHomClass.toMonoidWithZeroHomClass
RingHom.instRingHomClass
pow_zero
mul_one
one_mul
pow_succ
derivative_mul
mul_right_comm
C_add
add_mul
Distrib.rightDistribClass
mul_assoc
C_1
map_natCast
Nat.cast_add
Nat.cast_one
map_add
AddMonoidHomClass.toAddHomClass
RingHomClass.toAddMonoidHomClass
derivative_prod πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Multiset.prod
CommSemiring.toCommMonoid
commSemiring
Multiset.map
Multiset.sum
instMul
Multiset.erase
β€”Multiset.induction_on
derivative_one
Multiset.map_congr
Multiset.erase_of_notMem
one_mul
Multiset.map_cons
Multiset.prod_cons
derivative_mul
Multiset.sum_cons
Multiset.erase_cons_head
mul_comm
AddMonoidHom.coe_mulLeft
AddMonoidHom.map_multiset_sum
Multiset.map_map
mul_assoc
Multiset.cons_erase
Multiset.erase_cons_tail
derivative_prod_finset πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Finset.prod
CommSemiring.toCommMonoid
commSemiring
Finset.sum
instMul
Finset.erase
β€”derivative_prod
derivative_smul πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
SMulZeroClass.toSMul
instZero
smulZeroClass
β€”LinearMap.map_smul_of_tower
LinearMap.IsScalarTower.compatibleSMul
isScalarTower
derivative_sq πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
CommSemiring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
instMul
RingHom
RingHom.instFunLike
C
instOfNatAtLeastTwo
AddMonoidWithOne.toNatCast
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
Nat.instAtLeastTwoHAddOfNat
β€”Nat.instAtLeastTwoHAddOfNat
derivative_pow_succ
Nat.cast_one
one_add_one_eq_two
pow_one
derivative_sub πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
Ring.toSemiring
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instSub
β€”map_sub
DistribMulActionSemiHomClass.toAddMonoidHomClass
SemilinearMapClass.distribMulActionSemiHomClass
LinearMap.semilinearMapClass
derivative_sum πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Finset.sum
β€”map_sum
DistribMulActionSemiHomClass.toAddMonoidHomClass
SemilinearMapClass.distribMulActionSemiHomClass
LinearMap.semilinearMapClass
derivative_zero πŸ“–mathematicalβ€”DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instZero
β€”LinearMap.map_zero
dvd_derivative_iff πŸ“–mathematicalβ€”Polynomial
semigroupDvd
SemigroupWithZero.toSemigroup
NonUnitalSemiring.toSemigroupWithZero
Semiring.toNonUnitalSemiring
semiring
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instZero
β€”derivative_zero
eq_zero_of_dvd_of_degree_lt
degree_derivative_lt
dvd_iterate_derivative_pow πŸ“–mathematicalβ€”semigroupDvd
SemigroupWithZero.toSemigroup
NonUnitalSemiring.toSemigroupWithZero
NonUnitalCommSemiring.toNonUnitalSemiring
CommSemiring.toNonUnitalCommSemiring
AddMonoidWithOne.toNatCast
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
Semiring.toNonAssocSemiring
CommSemiring.toSemiring
eval
Nat.iterate
Polynomial
DFunLike.coe
LinearMap
RingHom.id
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
β€”Function.iterate_succ_apply
derivative_pow
mul_assoc
C_eq_natCast
iterate_derivative_natCast_mul
eval_mul
eval_natCast
dvd_mul_right
eq_C_of_derivative_eq_zero πŸ“–mathematicalDFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instZero
DFunLike.coe
RingHom
Polynomial
Semiring.toNonAssocSemiring
semiring
RingHom.instFunLike
C
coeff
β€”eq_C_of_natDegree_eq_zero
natDegree_eq_zero_of_derivative_eq_zero
eval_multiset_prod_X_sub_C_derivative πŸ“–mathematicalMultiset
Multiset.instMembership
eval
CommSemiring.toSemiring
CommRing.toCommSemiring
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Multiset.prod
CommRing.toCommMonoid
commRing
Multiset.map
instSub
CommRing.toRing
X
RingHom
RingHom.instFunLike
C
SubNegMonoid.toSub
AddGroup.toSubNegMonoid
AddGroupWithOne.toAddGroup
Ring.toAddGroupWithOne
Multiset.erase
β€”Multiset.cons_erase
MonoidHom.map_multiset_prod
Multiset.map_cons
Multiset.prod_cons
derivative_mul
derivative_sub
derivative_X
derivative_C
sub_zero
one_mul
eval_add
eval_mul
eval_sub
eval_X
eval_C
sub_self
MulZeroClass.zero_mul
add_zero
Multiset.map_congr
Multiset.map_map
iterate_derivative_C πŸ“–mathematicalβ€”Nat.iterate
Polynomial
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
RingHom
RingHom.instFunLike
C
instZero
β€”iterate_derivative_eq_zero
Eq.trans_lt
natDegree_C
iterate_derivative_C_mul πŸ“–mathematicalβ€”Nat.iterate
Polynomial
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instMul
RingHom
RingHom.instFunLike
C
β€”iterate_derivative_smul
IsScalarTower.left
iterate_derivative_X πŸ“–mathematicalβ€”Nat.iterate
Polynomial
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
X
instZero
β€”iterate_derivative_eq_zero
LE.le.trans_lt
natDegree_X_le
iterate_derivative_X_add_pow πŸ“–mathematicalβ€”Nat.iterate
Polynomial
CommSemiring.toSemiring
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
instAdd
X
RingHom
RingHom.instFunLike
C
instNSMul
Nat.descFactorial
β€”tsub_zero
Nat.instOrderedSub
one_smul
Function.iterate_succ_apply'
derivative_smul
NonUnitalNonAssocSemiring.nat_isScalarTower
derivative_X_add_C_pow
map_natCast
RingHom.instRingHomClass
Nat.descFactorial_succ
nsmul_eq_mul
Nat.cast_mul
Mathlib.Tactic.Ring.of_eq
Mathlib.Tactic.Ring.mul_congr
Mathlib.Tactic.Ring.atom_pf
Mathlib.Tactic.Ring.pow_congr
Mathlib.Tactic.Ring.add_congr
Mathlib.Tactic.Ring.add_pf_add_lt
Mathlib.Tactic.Ring.add_pf_zero_add
Mathlib.Tactic.Ring.pow_add
Mathlib.Tactic.Ring.pow_atom
Mathlib.Tactic.Ring.pow_zero
Mathlib.Tactic.Ring.add_mul
Mathlib.Tactic.Ring.mul_add
Mathlib.Tactic.Ring.mul_pf_left
Mathlib.Tactic.Ring.one_mul
Mathlib.Tactic.Ring.mul_zero
Mathlib.Tactic.Ring.add_pf_add_zero
Mathlib.Tactic.Ring.zero_mul
Mathlib.Tactic.Ring.mul_pf_right
iterate_derivative_X_pow_eq_C_mul πŸ“–mathematicalβ€”Nat.iterate
Polynomial
CommSemiring.toSemiring
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
X
instMul
RingHom
RingHom.instFunLike
C
AddMonoidWithOne.toNatCast
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
Nat.descFactorial
β€”iterate_derivative_X_pow_eq_natCast_mul
C_eq_natCast
iterate_derivative_X_pow_eq_natCast_mul πŸ“–mathematicalβ€”Nat.iterate
Polynomial
CommSemiring.toSemiring
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
X
instMul
instNatCast
Nat.descFactorial
β€”Function.iterate_zero_apply
tsub_zero
Nat.instOrderedSub
Nat.descFactorial_zero
Nat.cast_one
one_mul
Function.iterate_succ_apply'
derivative_natCast_mul
derivative_X_pow
C_eq_natCast
Nat.descFactorial_succ
Nat.cast_mul
mul_left_comm
mul_assoc
iterate_derivative_X_pow_eq_smul πŸ“–mathematicalβ€”Nat.iterate
Polynomial
CommSemiring.toSemiring
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
X
SMulZeroClass.toSMul
instZero
smulZeroClass
DistribSMul.toSMulZeroClass
AddMonoid.toAddZeroClass
AddMonoidWithOne.toAddMonoid
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
NonUnitalNonAssocSemiring.toDistribSMul
AddMonoidWithOne.toNatCast
Nat.descFactorial
β€”iterate_derivative_X_pow_eq_C_mul
smul_eq_C_mul
iterate_derivative_X_sub_pow πŸ“–mathematicalβ€”Nat.iterate
Polynomial
CommSemiring.toSemiring
CommRing.toCommSemiring
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
instSub
CommRing.toRing
X
RingHom
RingHom.instFunLike
C
instNSMul
Nat.descFactorial
β€”sub_eq_add_neg
C_neg
iterate_derivative_X_add_pow
iterate_derivative_X_sub_pow_self πŸ“–mathematicalβ€”Nat.iterate
Polynomial
CommSemiring.toSemiring
CommRing.toCommSemiring
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
instSub
CommRing.toRing
X
RingHom
RingHom.instFunLike
C
instNatCast
Nat.factorial
β€”iterate_derivative_X_sub_pow
pow_zero
nsmul_one
Nat.descFactorial_self
iterate_derivative_comp_one_sub_X πŸ“–mathematicalβ€”Nat.iterate
Polynomial
CommSemiring.toSemiring
CommRing.toCommSemiring
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
comp
instSub
CommRing.toRing
instOne
X
instMul
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
instNeg
β€”pow_zero
one_mul
derivative_comp
derivative_sub
derivative_one
derivative_X
zero_sub
neg_mul
iterate_map_neg
DistribMulActionSemiHomClass.toAddMonoidHomClass
SemilinearMapClass.distribMulActionSemiHomClass
LinearMap.semilinearMapClass
pow_succ
mul_neg
mul_one
iterate_derivative_derivative_mul_X πŸ“–mathematicalβ€”Nat.iterate
Polynomial
CommSemiring.toSemiring
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instMul
X
instAdd
instNSMul
β€”pow_one
zero_add
Function.iterate_one
zero_nsmul
add_zero
Finset.sum_congr
inf_of_le_right
Nat.instCanonicallyOrderedAdd
zero_tsub
Nat.instOrderedSub
nsmul_eq_mul
Nat.cast_mul
Finset.sum_singleton
Nat.choose_self
Nat.cast_one
mul_one
tsub_zero
one_mul
Nat.cast_add
inf_of_le_left
covariant_swap_add_of_covariant_add
IsOrderedAddMonoid.toAddLeftMono
Nat.instIsOrderedAddMonoid
IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT
instIsRightCancelAddOfAddRightReflectLE
contravariant_swap_add_of_contravariant_add
IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT
instIsLeftCancelAddOfAddLeftReflectLE
IsOrderedCancelAddMonoid.toAddLeftReflectLE
Nat.instIsOrderedCancelAddMonoid
contravariant_lt_of_covariant_le
Finset.sum_range_succ
Nat.choose_zero_right
Nat.choose_one_right
add_tsub_cancel_right
tsub_self
pow_zero
iterate_derivative_mul_X_pow
iterate_derivative_derivative_mul_X_sq πŸ“–mathematicalβ€”Nat.iterate
Polynomial
CommSemiring.toSemiring
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instMul
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
X
instAdd
instNSMul
β€”zero_add
Function.iterate_one
MulZeroClass.mul_zero
zero_nsmul
MulZeroClass.zero_mul
add_zero
zero_tsub
Nat.instCanonicallyOrderedAdd
Nat.instOrderedSub
Finset.sum_congr
inf_of_le_right
nsmul_eq_mul
Nat.cast_mul
Finset.sum_singleton
Nat.choose_self
Nat.cast_one
mul_one
tsub_zero
one_mul
Nat.instAtLeastTwoHAddOfNat
tsub_self
IsOrderedAddMonoid.toAddLeftMono
Nat.instIsOrderedAddMonoid
Nat.instZeroLEOneClass
Nat.instCharZero
Finset.sum_range_succ
Nat.choose_succ_self_right
pow_one
mul_comm
Nat.two_dvd_mul_add_one
Function.iterate_succ
add_tsub_cancel_right
IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT
instIsLeftCancelAddOfAddLeftReflectLE
IsOrderedCancelAddMonoid.toAddLeftReflectLE
Nat.instIsOrderedCancelAddMonoid
contravariant_lt_of_covariant_le
inf_of_le_left
covariant_swap_add_of_covariant_add
IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT
instIsRightCancelAddOfAddRightReflectLE
contravariant_swap_add_of_contravariant_add
Finset.range_one
Nat.choose_zero_right
Nat.descFactorial_zero
one_smul
Nat.choose_one_right
Nat.descFactorial_succ
Nat.choose_two_right
pow_zero
Mathlib.Tactic.Ring.of_eq
Mathlib.Tactic.Ring.add_congr
Mathlib.Tactic.Ring.mul_congr
Mathlib.Tactic.Ring.atom_pf
Mathlib.Tactic.Ring.pow_congr
Mathlib.Tactic.Ring.cast_pos
Mathlib.Meta.NormNum.isNat_ofNat
Mathlib.Tactic.Ring.pow_add
Mathlib.Tactic.Ring.single_pow
Mathlib.Tactic.Ring.mul_pow
Mathlib.Tactic.Ring.one_mul
Mathlib.Tactic.Ring.one_pow
Mathlib.Tactic.Ring.pow_zero
Mathlib.Tactic.Ring.add_mul
Mathlib.Tactic.Ring.mul_add
Mathlib.Tactic.Ring.mul_pf_left
Mathlib.Tactic.Ring.mul_zero
Mathlib.Tactic.Ring.add_pf_add_zero
Mathlib.Tactic.Ring.zero_mul
Mathlib.Tactic.Ring.mul_pf_right
Mathlib.Tactic.Ring.nsmul_congr
Mathlib.Tactic.Ring.add_pf_add_gt
Mathlib.Tactic.Ring.add_pf_add_overlap
Mathlib.Meta.NormNum.IsNat.to_raw_eq
Mathlib.Meta.NormNum.isNat_add
Mathlib.Meta.NormNum.IsNat.of_raw
Mathlib.Meta.NormNum.isNat_mul
Mathlib.Tactic.Ring.mul_one
Mathlib.Tactic.Ring.add_pf_add_lt
Mathlib.Tactic.Ring.add_pf_zero_add
Mathlib.Tactic.Ring.smul_eq_cast
Mathlib.Tactic.Ring.natCast_add
Mathlib.Tactic.Ring.natCast_nat
Mathlib.Tactic.Ring.natCast_mul
Mathlib.Tactic.Ring.natCast_zero
Mathlib.Tactic.Ring.mul_pp_pf_overlap
Mathlib.Tactic.Ring.add_overlap_pf
iterate_derivative_mul_X_pow
iterate_derivative_eq_factorial_smul_sum πŸ“–mathematicalβ€”Nat.iterate
Polynomial
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instNSMul
Nat.factorial
Finset.sum
support
instMul
RingHom
RingHom.instFunLike
C
AddMonoid.toNSMul
AddMonoidWithOne.toAddMonoid
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
Nat.choose
coeff
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
X
β€”iterate_derivative_eq_sum
Finset.smul_sum
Finset.sum_congr
smul_mul_assoc
NonUnitalNonAssocSemiring.nat_isScalarTower
smul_C
smul_smul
Nat.descFactorial_eq_factorial_mul_choose
iterate_derivative_eq_sum πŸ“–mathematicalβ€”Nat.iterate
Polynomial
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Finset.sum
support
instMul
RingHom
RingHom.instFunLike
C
AddMonoid.toNSMul
AddMonoidWithOne.toAddMonoid
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
Nat.descFactorial
coeff
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
X
β€”as_sum_support_C_mul_X_pow
Finset.sum_congr
coeff_iterate_derivative
Nat.descFactorial_eq_factorial_mul_choose
iterate_derivative_eq_zero πŸ“–mathematicalnatDegreeNat.iterate
Polynomial
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instZero
β€”Nat.strong_induction_on
LT.lt.ne'
pos_of_gt
Nat.instCanonicallyOrderedAdd
Function.iterate_succ_apply
derivative_of_natDegree_zero
iterate_derivative_zero
natDegree_derivative_lt
LT.lt.trans_le
iterate_derivative_eq_zero_of_degree_lt πŸ“–mathematicalWithBot
Preorder.toLT
WithBot.instPreorder
Nat.instPreorder
degree
CommSemiring.toSemiring
CommRing.toCommSemiring
WithBot.natCast
Nat.iterate
Polynomial
CommSemiring.toSemiring
CommRing.toCommSemiring
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instZero
β€”degree_eq_bot
WithBot.lt_coe_bot
iterate_map_zero
AddMonoidHomClass.toZeroHomClass
DistribMulActionSemiHomClass.toAddMonoidHomClass
SemilinearMapClass.distribMulActionSemiHomClass
LinearMap.semilinearMapClass
Function.iterate_add_apply
Function.iterate_one
Mathlib.Tactic.Contrapose.contraposeβ‚„
derivative_of_natDegree_zero
natDegree_lt_iff_degree_lt
lt_of_not_ge
Mathlib.Tactic.Linarith.lt_irrefl
Mathlib.Tactic.Ring.of_eq
Mathlib.Tactic.Ring.add_congr
Mathlib.Tactic.Ring.neg_congr
Mathlib.Tactic.Ring.cast_pos
Mathlib.Meta.NormNum.isNat_ofNat
Mathlib.Tactic.Ring.neg_add
Mathlib.Tactic.Ring.neg_one_mul
Mathlib.Meta.NormNum.IsInt.to_raw_eq
Mathlib.Meta.NormNum.isInt_mul
Mathlib.Meta.NormNum.IsInt.of_raw
Mathlib.Meta.NormNum.IsNat.to_isInt
Mathlib.Meta.NormNum.IsNat.of_raw
Mathlib.Tactic.Ring.neg_zero
Mathlib.Tactic.Ring.sub_congr
Mathlib.Tactic.Ring.atom_pf
Mathlib.Tactic.Ring.sub_pf
Mathlib.Tactic.Ring.neg_mul
Mathlib.Tactic.Ring.add_pf_add_lt
Mathlib.Tactic.Ring.add_pf_zero_add
Mathlib.Tactic.Ring.add_pf_add_gt
Mathlib.Tactic.Ring.add_pf_add_zero
Mathlib.Tactic.Ring.add_pf_add_overlap_zero
Mathlib.Meta.NormNum.IsInt.to_isNat
Mathlib.Meta.NormNum.isInt_add
Mathlib.Tactic.Ring.add_overlap_pf_zero
Mathlib.Tactic.Ring.cast_zero
Mathlib.Tactic.Linarith.add_lt_of_neg_of_le
Int.instIsStrictOrderedRing
neg_neg_of_pos
Int.instIsOrderedAddMonoid
Mathlib.Tactic.Linarith.zero_lt_one
Mathlib.Tactic.Linarith.sub_nonpos_of_le
IsStrictOrderedRing.toIsOrderedRing
Nat.cast_add
Nat.cast_one
natDegree_derivative_lt
iterate_derivative_intCast_mul πŸ“–mathematicalβ€”Nat.iterate
Polynomial
Ring.toSemiring
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instMul
instIntCast
β€”derivative_mul
derivative_intCast
MulZeroClass.zero_mul
zero_add
iterate_derivative_map πŸ“–mathematicalβ€”Nat.iterate
Polynomial
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
map
β€”derivative_map
iterate_derivative_mul πŸ“–mathematicalβ€”Nat.iterate
Polynomial
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instMul
Finset.sum
Finset.range
instNSMul
Nat.choose
β€”Multiset.nodup_range
zero_add
Multiset.range_succ
Finset.sum_congr
zero_tsub
Nat.instCanonicallyOrderedAdd
Nat.instOrderedSub
nsmul_eq_mul
Nat.choose_self
Nat.cast_one
one_mul
Multiset.sum_singleton
Function.iterate_succ_apply'
derivative_sum
derivative_smul
NonUnitalNonAssocSemiring.nat_isScalarTower
derivative_mul
smul_add
Finset.sum_add_distrib
Finset.sum_range_succ'
Finset.sum_range_succ
Nat.choose_succ_self
zero_smul
add_zero
Finset.mem_range
Nat.choose_zero_right
tsub_zero
add_comm
add_assoc
add_smul
iterate_derivative_mul_X πŸ“–mathematicalβ€”Nat.iterate
Polynomial
CommSemiring.toSemiring
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instMul
X
instAdd
instNSMul
β€”pow_one
zero_tsub
Nat.instCanonicallyOrderedAdd
Nat.instOrderedSub
zero_nsmul
add_zero
Finset.sum_congr
inf_of_le_right
zero_add
nsmul_eq_mul
Nat.cast_mul
Finset.sum_singleton
Nat.choose_self
Nat.cast_one
mul_one
tsub_zero
one_mul
add_tsub_cancel_right
IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT
instIsLeftCancelAddOfAddLeftReflectLE
IsOrderedCancelAddMonoid.toAddLeftReflectLE
Nat.instIsOrderedCancelAddMonoid
contravariant_lt_of_covariant_le
IsOrderedAddMonoid.toAddLeftMono
Nat.instIsOrderedAddMonoid
Nat.cast_add
inf_of_le_left
covariant_swap_add_of_covariant_add
IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT
instIsRightCancelAddOfAddRightReflectLE
contravariant_swap_add_of_contravariant_add
Finset.sum_range_succ
Nat.choose_zero_right
Nat.choose_one_right
tsub_self
pow_zero
iterate_derivative_mul_X_pow
iterate_derivative_mul_X_pow πŸ“–mathematicalβ€”Nat.iterate
Polynomial
CommSemiring.toSemiring
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instMul
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
X
Finset.sum
Finset.range
instNSMul
Nat.choose
Nat.descFactorial
β€”iterate_derivative_mul
Finset.sum_congr
iterate_derivative_X_pow_eq_smul
SemigroupAction.mul_smul
Nat.cast_smul_eq_nsmul
Mathlib.Tactic.Ring.of_eq
Mathlib.Tactic.Ring.mul_congr
Mathlib.Tactic.Ring.atom_pf
Mathlib.Tactic.Ring.nsmul_congr
Mathlib.Tactic.Ring.pow_congr
Mathlib.Tactic.Ring.pow_add
Mathlib.Tactic.Ring.single_pow
Mathlib.Tactic.Ring.mul_pow
Mathlib.Tactic.Ring.mul_pf_right
Mathlib.Tactic.Ring.one_mul
Mathlib.Tactic.Ring.one_pow
Mathlib.Tactic.Ring.pow_zero
Mathlib.Tactic.Ring.add_mul
Mathlib.Tactic.Ring.mul_add
Mathlib.Tactic.Ring.mul_pf_left
Mathlib.Tactic.Ring.mul_zero
Mathlib.Tactic.Ring.add_pf_add_zero
Mathlib.Tactic.Ring.zero_mul
Mathlib.Tactic.Ring.smul_eq_cast
Mathlib.Tactic.Ring.natCast_add
Mathlib.Tactic.Ring.natCast_mul
Mathlib.Tactic.Ring.natCast_nat
Mathlib.Tactic.Ring.natCast_zero
Finset.sum_congr_of_eq_on_inter
le_or_gt
Nat.instNoMaxOrder
Nat.choose_eq_zero_of_lt
MulZeroClass.zero_mul
zero_nsmul
Nat.descFactorial_eq_zero_iff_lt
MulZeroClass.mul_zero
nsmul_eq_mul
Nat.cast_mul
instIsEmptyFalse
iterate_derivative_natCast_mul πŸ“–mathematicalβ€”Nat.iterate
Polynomial
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instMul
instNatCast
β€”derivative_mul
derivative_natCast
MulZeroClass.zero_mul
zero_add
iterate_derivative_neg πŸ“–mathematicalβ€”Nat.iterate
Polynomial
Ring.toSemiring
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instNeg
β€”iterate_map_neg
DistribMulActionSemiHomClass.toAddMonoidHomClass
SemilinearMapClass.distribMulActionSemiHomClass
LinearMap.semilinearMapClass
iterate_derivative_one πŸ“–mathematicalβ€”Nat.iterate
Polynomial
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instOne
instZero
β€”iterate_derivative_C
iterate_derivative_prod_X_sub_C πŸ“–mathematicalFinset.cardNat.iterate
Polynomial
CommSemiring.toSemiring
CommRing.toCommSemiring
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Finset.prod
CommRing.toCommMonoid
commRing
instSub
CommRing.toRing
X
RingHom
RingHom.instFunLike
C
instMul
instNatCast
Nat.factorial
Finset.sum
Finset
NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring
NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing
NonUnitalCommRing.toNonUnitalNonAssocCommRing
CommRing.toNonUnitalCommRing
Finset.powersetCard
Finset.card
β€”Nat.cast_one
Finset.sum_congr
tsub_zero
Nat.instOrderedSub
Finset.powersetCard_self
Finset.sum_singleton
one_mul
add_comm
Function.iterate_add_apply
Function.iterate_one
nsmul_eq_mul
derivative_smul
NonUnitalNonAssocSemiring.nat_isScalarTower
derivative_sum
Nat.factorial_succ
mul_comm
Nat.cast_mul
mul_assoc
derivative_prod_finset
derivative_X_sub_C
mul_one
Finset.sum_finset_product'
Finset.sum_bij'
Finset.mul_sum
Finset.sum_const
Nat.cast_add
iterate_derivative_smul πŸ“–mathematicalβ€”Nat.iterate
Polynomial
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
SMulZeroClass.toSMul
instZero
smulZeroClass
β€”LinearMap.map_smul_of_tower
LinearMap.IsScalarTower.compatibleSMul
isScalarTower
iterate_derivative_sub πŸ“–mathematicalβ€”Nat.iterate
Polynomial
Ring.toSemiring
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instSub
β€”iterate_map_sub
DistribMulActionSemiHomClass.toAddMonoidHomClass
SemilinearMapClass.distribMulActionSemiHomClass
LinearMap.semilinearMapClass
iterate_derivative_sum πŸ“–mathematicalβ€”Nat.iterate
Polynomial
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Finset.sum
β€”Finset.sum_congr
map_sum
DistribMulActionSemiHomClass.toAddMonoidHomClass
SemilinearMapClass.distribMulActionSemiHomClass
LinearMap.semilinearMapClass
iterate_derivative_zero πŸ“–mathematicalβ€”Nat.iterate
Polynomial
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instZero
β€”iterate_map_zero
AddMonoidHomClass.toZeroHomClass
DistribMulActionSemiHomClass.toAddMonoidHomClass
SemilinearMapClass.distribMulActionSemiHomClass
LinearMap.semilinearMapClass
mem_support_derivative πŸ“–mathematicalβ€”Finset
SetLike.instMembership
Finset.instSetLike
support
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
β€”nsmul_eq_mul'
smul_eq_zero
IsAddTorsionFree.to_isTorsionFree_nat
Nat.instIsCancelMulZero
coeff_derivative
Nat.cast_succ
natDegree_derivative_le πŸ“–mathematicalβ€”natDegree
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
β€”derivative_of_natDegree_zero
zero_tsub
Nat.instCanonicallyOrderedAdd
Nat.instOrderedSub
instReflLe
natDegree_derivative_lt
natDegree_derivative_lt πŸ“–mathematicalβ€”natDegree
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
β€”eq_or_ne
natDegree_zero
Ne.bot_lt
natDegree_lt_natDegree_iff
degree_derivative_lt
natDegree_eq_zero_of_derivative_eq_zero πŸ“–mathematicalDFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
instZero
natDegreeβ€”eq_or_ne
natDegree_zero
natDegree_eq_zero_iff_degree_le_zero
tsub_add_cancel_of_le
CanonicallyOrderedAdd.toExistsAddOfLE
Nat.instCanonicallyOrderedAdd
IsOrderedAddMonoid.toAddLeftMono
Nat.instIsOrderedAddMonoid
Nat.instOrderedSub
natDegree_pos_iff_degree_pos
coeff_derivative
smul_eq_zero
IsAddTorsionFree.to_isTorsionFree_nat
Nat.instIsCancelMulZero
nsmul_eq_mul'
Nat.cast_add_one
coeff_zero
ext_iff
leadingCoeff_eq_zero
leadingCoeff.eq_1
natDegree_iterate_derivative πŸ“–mathematicalβ€”natDegree
Nat.iterate
Polynomial
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
β€”Function.iterate_zero_apply
le_refl
Function.iterate_succ_apply'
LE.le.trans
natDegree_derivative_le
of_mem_support_derivative πŸ“–mathematicalFinset
SetLike.instMembership
Finset.instSetLike
support
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
Finset
SetLike.instMembership
Finset.instSetLike
support
β€”mem_support_iff
coeff_derivative
MulZeroClass.zero_mul
pow_sub_dvd_iterate_derivative_of_pow_dvd πŸ“–mathematicalPolynomial
CommSemiring.toSemiring
semigroupDvd
SemigroupWithZero.toSemigroup
NonUnitalSemiring.toSemigroupWithZero
NonUnitalCommSemiring.toNonUnitalSemiring
CommSemiring.toNonUnitalCommSemiring
commSemiring
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
semiring
Polynomial
CommSemiring.toSemiring
semigroupDvd
SemigroupWithZero.toSemigroup
NonUnitalSemiring.toSemigroupWithZero
NonUnitalCommSemiring.toNonUnitalSemiring
CommSemiring.toNonUnitalCommSemiring
commSemiring
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
semiring
Nat.iterate
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
β€”tsub_zero
Nat.instOrderedSub
Function.iterate_succ'
pow_sub_one_dvd_derivative_of_pow_dvd
pow_sub_dvd_iterate_derivative_pow πŸ“–mathematicalβ€”Polynomial
CommSemiring.toSemiring
semigroupDvd
SemigroupWithZero.toSemigroup
NonUnitalSemiring.toSemigroupWithZero
NonUnitalCommSemiring.toNonUnitalSemiring
CommSemiring.toNonUnitalCommSemiring
commSemiring
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
semiring
Nat.iterate
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
β€”pow_sub_dvd_iterate_derivative_of_pow_dvd
dvd_rfl
pow_sub_one_dvd_derivative_of_pow_dvd πŸ“–mathematicalPolynomial
CommSemiring.toSemiring
semigroupDvd
SemigroupWithZero.toSemigroup
NonUnitalSemiring.toSemigroupWithZero
NonUnitalCommSemiring.toNonUnitalSemiring
CommSemiring.toNonUnitalCommSemiring
commSemiring
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
semiring
Polynomial
CommSemiring.toSemiring
semigroupDvd
SemigroupWithZero.toSemigroup
NonUnitalSemiring.toSemigroupWithZero
NonUnitalCommSemiring.toNonUnitalSemiring
CommSemiring.toNonUnitalCommSemiring
commSemiring
Monoid.toPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
semiring
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
β€”derivative_mul
derivative_pow
Dvd.dvd.add
Distrib.leftDistribClass
Dvd.dvd.mul_right
dvd_mul_left
pow_dvd_pow
support_derivativeFinsupp_subset_range πŸ“–mathematicalnatDegreeFinset
Finset.instHasSubset
Finsupp.support
Polynomial
instZero
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Finsupp
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
Finsupp.instAddCommMonoid
module
Semiring.toModule
Finsupp.module
LinearMap.instFunLike
derivativeFinsupp
Finset.range
β€”HasSubset.Subset.trans
Finset.instIsTransSubset
Finsupp.support_onFinset_subset
Finset.range_subset_range

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