Theorems · Theorem · ring theory

TrivSqZeroExt.snd_invOf

∀ {R : Type u} {M : Type v} [inst : AddCommGroup M] [inst_1 : Semiring R] [inst_2 : Module Rᵐᵒᵖ M] [inst_3 : Module R M]
  [SMulCommClass R Rᵐᵒᵖ M] (x : TrivSqZeroExt R M) [inst_5 : Invertible x] [inst_6 : Invertible x.fst],
  (⅟x).snd = -(MulOpposite.op ⅟x.fst • ⅟x.fst • x.snd)

Defined in

Mathlib.Algebra.TrivSqZeroExt.Basic

Cited by

1 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Quot.sound

Assumes

AddCommGroupSemiringModuleModuleSMulCommClassInvertibleInvertible