Theorems · Theorem · general algebraic systems
Finsupp.erase_of_notMem_support
∀ {α : Type u_1} {M : Type u_5} [inst : Zero M] {f : α →₀ M} {a : α}, a ∉ f.support → Finsupp.erase a f = f- Defined in
- Mathlib.Data.Finsupp.Single
- Cited by
- 9 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.
Cites4
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 and proof · cited by 828
- Finsupp.erasestatement · cited by 46
Cited by9
Results whose statement or proof uses this declaration.
- Finsupp.update_eq_add_singleproof · cited by 3
- Nat.factorization_ordComplproof · cited by 3
- Finsupp.mul_prod_erase'proof · cited by 1
- Finsupp.add_sum_erase'proof · cited by 1
- AddMonoidAlgebra.erase_zeroproof · cited by 1
- Finsupp.sum_eq_one_iffproof · cited by 1
- Finsupp.erase_zeroproof · cited by 0
- Finsupp.update_eq_single_addproof · cited by 0
- MonoidAlgebra.erase_zeroproof · cited by 0