Theorems · Theorem · general algebraic systems
Finsupp.support_update_zero
∀ {α : Type u_1} {M : Type u_5} [inst : Zero M] (f : α →₀ M) (a : α) [inst_1 : DecidableEq α],
(f.update a 0).support = f.support.erase a- Defined in
- Mathlib.Data.Finsupp.Single
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 65 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.updatestatement · cited by 52
Cited by3
Results whose statement or proof uses this declaration.
- Finsupp.multinomial_updateproof · cited by 2
- List.multinomial_consproof · cited by 1
- SkewMonoidAlgebra.support_updateproof · cited by 1