Theorems · Theorem · general algebraic systems
Finsupp.support_update_ne_zero
∀ {α : Type u_1} {M : Type u_5} [inst : Zero M] (f : α →₀ M) (a : α) {b : M} [inst_1 : DecidableEq α],
b ≠ 0 → (f.update a b).support = insert a f.support- Defined in
- Mathlib.Data.Finsupp.Single
- Cited by
- 1 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.
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 · cited by 828
- Finsupp.updatestatement · cited by 52
Cited by1
Results whose statement or proof uses this declaration.
- SkewMonoidAlgebra.support_updateproof · cited by 1