Theorems · Theorem · general algebraic systems
Finsupp.erase_ne
∀ {α : Type u_1} {M : Type u_5} [inst : Zero M] {a a' : α} {f : α →₀ M}, a' ≠ a → (Finsupp.erase a f) a' = f a'- Defined in
- Mathlib.Data.Finsupp.Single
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Zero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Finsuppstatement and proof · cited by 5,255
- Finsupp.erasestatement · cited by 46
Cited by14
Results whose statement or proof uses this declaration.
- Finsupp.update_eq_erase_add_singleproof · cited by 4
- Nat.factorization_ordComplproof · cited by 3
- Finsupp.update_eq_single_add_eraseproof · cited by 2
- Finsupp.mul_prod_eraseproof · cited by 1
- Nat.dvd_ordCompl_of_dvd_not_dvdproof · cited by 1
- Nat.ordCompl_dvd_ordCompl_of_dvdproof · cited by 1
- Finsupp.add_sum_eraseproof · cited by 1
- Finset.mem_finsuppAntidiag_insertproof · cited by 1
- Finsupp.erase_addproof · cited by 1
- Finsupp.sum_eq_one_iffproof · cited by 1
- Finsupp.erase_eq_sub_singleproof · cited by 1
- Finsupp.mapDomain_comapDomain_nat_add_oneproof · cited by 0