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
239 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, 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, 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, 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, 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, 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, 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, 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
AddLeftCancelSemigroup.toIsLeftCancelAdd
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.toNatSMul
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
AddLeftCancelSemigroup.toIsLeftCancelAdd
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
AddMonoidWithOne.toNatCast
WithBot.addMonoidWithOne
Nat.instAddMonoidWithOne
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
AddRightCancelSemigroup.toIsRightCancelAdd
covariant_swap_add_of_covariant_add
IsOrderedAddMonoid.toAddLeftMono
Nat.instIsOrderedAddMonoid
contravariant_swap_add_of_contravariant_add
contravariant_lt_of_covariant_le
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
AddRightCancelSemigroup.toIsRightCancelAdd
covariant_swap_add_of_covariant_add
IsOrderedAddMonoid.toAddLeftMono
Nat.instIsOrderedAddMonoid
contravariant_swap_add_of_contravariant_add
contravariant_lt_of_covariant_le
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.toNatPow
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.toNatPow
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.toNatPow
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.toNatPow
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.toNatPow
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.toNatPow
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
AddLeftCancelSemigroup.toIsLeftCancelAdd
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.toNatPow
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.toNatPow
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.toNatPow
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.toNatPow
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.toNatPow
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
AddLeftCancelSemigroup.toIsLeftCancelAdd
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
AddLeftCancelSemigroup.toIsLeftCancelAdd
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.toNatPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
instMul
RingHom
RingHom.instFunLike
C
AddMonoidWithOne.toNatCast
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
β€”pow_zero
derivative_one
Nat.cast_zero
C_0
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.toNatPow
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.toNatPow
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.toNatPow
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.toNatPow
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
RingHom
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.toNatPow
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.toNatPow
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.toNatPow
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.toNatPow
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.toNatPow
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.toNatPow
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.toNatPow
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
AddRightCancelSemigroup.toIsRightCancelAdd
contravariant_swap_add_of_contravariant_add
contravariant_lt_of_covariant_le
Finset.sum_range_succ
Nat.choose_zero_right
Nat.choose_one_right
add_tsub_cancel_right
IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT
AddLeftCancelSemigroup.toIsLeftCancelAdd
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.toNatPow
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
AddLeftCancelSemigroup.toIsLeftCancelAdd
contravariant_lt_of_covariant_le
inf_of_le_left
covariant_swap_add_of_covariant_add
IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT
AddRightCancelSemigroup.toIsRightCancelAdd
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.toNatSMul
AddMonoidWithOne.toAddMonoid
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
Nat.choose
coeff
Monoid.toNatPow
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.toNatSMul
AddMonoidWithOne.toAddMonoid
AddCommMonoidWithOne.toAddMonoidWithOne
NonAssocSemiring.toAddCommMonoidWithOne
Nat.descFactorial
coeff
Monoid.toNatPow
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
AddMonoidWithOne.toNatCast
WithBot.addMonoidWithOne
Nat.instAddMonoidWithOne
Nat.iterate
Polynomial
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
AddLeftCancelSemigroup.toIsLeftCancelAdd
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
AddRightCancelSemigroup.toIsRightCancelAdd
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.toNatPow
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
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
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
Finset.instMembership
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
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“–β€”Finset
Finset.instMembership
support
DFunLike.coe
LinearMap
RingHom.id
Semiring.toNonAssocSemiring
Polynomial
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
semiring
module
Semiring.toModule
LinearMap.instFunLike
derivative
β€”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.toNatPow
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.toNatPow
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.toNatPow
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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