Theorems · Theorem · ring theory

SkewMonoidAlgebra.support_update

∀ {M : Type u_4} {α : Type u_5} [inst : AddCommMonoid M] (f : SkewMonoidAlgebra M α) (a : α) (b : M)
  [inst_1 : DecidableEq α] [inst_2 : DecidableEq M],
  (f.update a b).support = if b = 0 then f.support.erase a else insert a f.support

Defined in

Mathlib.Algebra.SkewMonoidAlgebra.Single

Cited by

1 results in Mathlib

Foundations

Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidDecidableEqDecidableEq