Theorems · Theorem · general algebraic systems
Finsupp.support_erase
∀ {α : Type u_1} {M : Type u_5} [inst : Zero M] [inst_1 : DecidableEq α] {a : α} {f : α →₀ M},
(Finsupp.erase a f).support = f.support.erase a- Defined in
- Mathlib.Data.Finsupp.Single
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Finsuppstatement and proof · cited by 5,255
- Finsupp.supportstatement · cited by 828
- Finset.erasestatement · cited by 455
- Finsupp.erasestatement · cited by 46
Cited by10
Results whose statement or proof uses this declaration.
- Finsupp.inductionproof · cited by 12
- Finsupp.induction_on_maxproof · cited by 6
- Polynomial.support_eraseproof · cited by 4
- SkewMonoidAlgebra.support_eraseproof · cited by 2
- Finsupp.mul_prod_eraseproof · cited by 1
- Finsupp.add_sum_eraseproof · cited by 1
- Finsupp.sum_eq_one_iffproof · cited by 1
- Finset.mem_finsuppAntidiag_insertproof · cited by 1
- MvPolynomial.irreducible_of_disjoint_supportproof · cited by 1
- Finsupp.mapDomain_comapDomain_nat_add_oneproof · cited by 0