Theorems · Definition · ring theory

TrivSqZeroExt.invertibleFstOfInvertible

{R : Type u} →
  {M : Type v} →
    [inst : AddCommGroup M] →
      [inst_1 : Semiring R] →
        [inst_2 : Module Rᵐᵒᵖ M] → [inst_3 : Module R M] → (x : TrivSqZeroExt R M) → [Invertible x] → Invertible x.fst

x.fst : R is invertible when x : tzre R M is.

Defined in

Mathlib.Algebra.TrivSqZeroExt.Basic

Cited by

2 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Quot.sound

Assumes

AddCommGroupSemiringModuleModuleInvertible