Documentation Verification Report

Erase

📁 Source: Mathlib/Data/Finset/Erase.lean

Statistics

MetricCount
Definitionserase
1
Theoremscoe_erase, eq_of_mem_of_notMem_erase, erase_eq_of_notMem, erase_eq_self, erase_idem, erase_inj, erase_injOn, erase_ne_self, erase_right_comm, erase_subset, erase_subset_erase, erase_val, mem_erase, mem_erase_of_ne_of_mem, mem_of_mem_erase, ne_of_mem_erase, notMem_erase, subset_erase
18
Total19

Finset

Definitions

NameCategoryTheorems
erase 📖CompOp
199 mathmath: prod_erase, Lagrange.eval_iterate_derivative_eq_sum, Nat.smoothNumbersUpTo_subset_image, disjoint_insert_erase, inter_erase, Lagrange.nodalWeight_eq_eval_nodal_erase_inv, SimpleGraph.IsNClique.erase_of_sup_edge_of_mem, filter_erase, prod_erase_mul, card_erase_lt_of_mem, erase_biUnion, Lagrange.derivative_nodal, HasDerivAt.fun_finset_prod, Nat.Ico_succ_left_eq_erase_Ico, deriv_fun_finset_prod, Polynomial.Chebyshev.zero_lt_prod_node_sub_node, Lagrange.leadingCoeff_basis, Ideal.exists_minimal_isPrimary_decomposition_of_isPrimary_decomposition, sdiff_singleton_eq_erase, Polynomial.eraseLead_support, Icc_erase_left, card_erase_add_one, disjoint_erase_insert, Ioc_erase_right, erase_injOn, memberSubfamily_image_erase, HasFDerivAt.finset_prod, compl_erase, SimpleGraph.IsNClique.erase_of_mem, Fintype.card_filter_piFinset_eq, sup_erase_bot, CovBy.exists_finset_erase, Lagrange.coeff_eq_sum, erase_injOn', card_erase_eq_ite, Colex.erase_lt_erase, ssubset_iff_exists_subset_erase, Colex.erase_le_erase, erase_eq, compl_singleton, Lagrange.interpolate_eq_sum, fderivWithin_finset_prod, erase_wcovBy, coe_erase, erase_inter_comm, HasDerivWithinAt.fun_finset_prod, Finpartition.ofErase_parts, SetTheory.PGame.Domineering.fst_pred_mem_erase_of_mem_right, minimal_iff_forall_diff_singleton, filter_ne, erase_union_of_mem, erase_cons, erase_eq_empty_iff, sum_erase_attach, DFinsupp.support_erase, Multiset.bell_mul_eq, subsetSum_erase_zero, erase_inj, Lagrange.degree_interpolate_erase_lt, vectorSpan_eq_span_vsub_finset_right_ne, MeasureTheory.Measure.pi_map_eval, SimpleGraph.IsNClique.insert_erase, MeasureTheory.lmarginal_erase, sdiff_insert, mem_erase_of_ne_of_mem, image_some_eraseNone, sdiff_erase, DependsOn.update, erase_sdiff_distrib, finsum_cond_ne, Finsupp.support_erase, HasStrictDerivAt.fun_finset_prod, card_erase_of_mem, Ico_erase_left, card_erase_le, insert_erase_invOn, compl_insert, mul_prod_erase, noncommProd_erase_mul, Polynomial.support_update_zero, Lagrange.leadingCoeff_eq_sum, erase_insert_subset, SetTheory.PGame.Domineering.snd_pred_mem_erase_of_mem_left, MeasureTheory.lmarginal_erase', memberSubfamily_union_nonMemberSubfamily, erase_mem_shadow, erase_ssubset_insert, erase_right_comm, DFinsupp.erase_def, sdiff_union_erase_cancel, Matrix.adjugate_diagonal, Fintype.card_filter_piFinset_eq_of_mem, Lagrange.iterate_derivative_interpolate, Finsupp.support_update, Icc_erase_right, erase_insert_of_ne, erase_subset_erase, Nontrivial.erase_nonempty, finprod_cond_ne, Iic_erase, erase_idem, add_sum_erase, prod_erase_lt_of_one_lt, SimpleGraph.IsFiveWheelLike.exists_isFiveWheelLike_succ_of_not_adj_le_two, erase_eq_iff_eq_insert, mem_erase, erase_insert, erase_image_subset_image_erase, Submodule.IsMinimalPrimaryDecomposition.minimal, prod_erase_attach, Caratheodory.mem_convexHull_erase, Colex.shadow_initSeg, erase_sdiff_erase, sum_erase_add, pred_card_le_card_erase, fderiv_finset_prod, erase_nonempty, sum_erase_eq_sub, prod_erase_eq_div, hasStrictFDerivAt_finset_prod, Lagrange.nodal_eq_mul_nodal_erase, supIndep_iff_disjoint_erase, filter_ne', erase_insert_eq_erase, Polynomial.prod_cyclotomic_eq_geom_sum, erase_union_distrib, eigenvalue_mem_ball, Ideal.decomposition_erase_inf, Finmap.keys_erase, Multiset.bell_eq, sym_filterNe_mem, Polynomial.support_update, derivWithin_fun_finset_prod, Colex.erase_le_erase_min', Lagrange.interpolate_eq_add_interpolate_erase, HasDerivWithinAt.finset_prod, HasMFDerivAt.prod, deriv_finset_prod, Polynomial.derivative_prod_finset, SimpleGraph.Walk.exists_mem_support_mem_erase_mem_support_takeUntil_eq_empty, inf_erase_top, piecewise_erase_univ, erase_subset_iff_of_mem, cast_card_erase_of_mem, subset_erase, sdiff_erase_self, Submodule.exists_minimal_isPrimary_decomposition_of_isPrimary_decomposition, mem_upShadow_iff_erase_mem, sum_erase, erase_cons_of_ne, Finmap.keys_erase_toFinset, Finsupp.support_update_zero, derivWithin_finset_prod, mul_noncommProd_erase, map_erase, erase_val, notMem_erase, deriv_descPochhammer_eval_eq_sum_prod_range_erase, erase_eq_of_notMem, HallMarriageTheorem.hall_cond_of_erase, union_erase_of_mem, HasStrictDerivAt.finset_prod, SkewMonoidAlgebra.support_update, covBy_iff_exists_erase, Lagrange.eval_nodal_derivative_eval_node_eq, HasFDerivWithinAt.finset_prod, erase_eq_self, mem_shadow_iff, Down.erase_mem_compression_of_mem_compression, HasDerivAt.finset_prod, weightedVSubOfPoint_erase, image_erase, range_pow_padicValNat_subset_divisors', erase_empty, card_eraseNone_eq_card_erase, image_subtype_ne_univ_eq_image_erase, insert_erase, erase_ssubset, erase_inter, insert_erase_subset, Polynomial.support_erase, HasMFDerivWithinAt.prod, Submodule.decomposition_erase_inf, erase_sdiff_comm, erase_singleton, erase_covBy, Lagrange.nodal_erase_eq_nodal_div, sum_erase_lt_of_pos, Down.mem_compression, erase_subset, disjoint_erase_comm, Down.erase_mem_compression, map_some_eraseNone, Finpartition.parts_inf, Ici_erase, subset_insert_iff, HasStrictFDerivAt.finset_prod, SkewMonoidAlgebra.support_erase, hasFDerivAt_finset_prod

Theorems

NameKindAssumesProvesValidatesDepends On
coe_erase 📖mathematicalSetLike.coe
Finset
instSetLike
erase
Set
Set.instSDiff
Set.instSingletonSet
eq_of_mem_of_notMem_erase 📖Finset
instMembership
erase
erase_eq_of_notMem 📖mathematicalFinset
instMembership
eraseeq_of_veq
Multiset.erase_of_notMem
erase_eq_self 📖mathematicalerase
Finset
instMembership
notMem_erase
erase_eq_of_notMem
erase_idem 📖mathematicaleraseerase_eq_of_notMem
erase_inj 📖mathematicalFinset
instMembership
erase
erase_injOn 📖mathematicalSet.InjOn
Finset
erase
SetLike.coe
instSetLike
erase_ne_self 📖mathematicalFinset
instMembership
Iff.not_left
erase_eq_self
erase_right_comm 📖mathematicalerase
erase_subset 📖mathematicalFinset
instHasSubset
erase
Multiset.erase_subset
erase_subset_erase 📖mathematicalFinset
instHasSubset
eraseval_le_iff
Multiset.erase_le_erase
erase_val 📖mathematicalval
erase
Multiset.erase
mem_erase 📖mathematicalFinset
instMembership
erase
Multiset.Nodup.mem_erase_iff
nodup
mem_erase_of_ne_of_mem 📖mathematicalFinset
instMembership
erase
mem_of_mem_erase 📖Finset
instMembership
erase
Multiset.mem_of_mem_erase
ne_of_mem_erase 📖Finset
instMembership
erase
mem_erase
notMem_erase 📖mathematicalFinset
instMembership
erase
Multiset.Nodup.notMem_erase
nodup
subset_erase 📖mathematicalFinset
instHasSubset
erase
instMembership

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