Theorems · Theorem · ring theory
TrivSqZeroExt.fst_invOf
∀ {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) [inst_4 : Invertible x] [inst_5 : Invertible x.fst], (⅟x).fst = ⅟x.fst- Defined in
- Mathlib.Algebra.TrivSqZeroExt.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommGroupstatement and proof · cited by 12,871
- MulOppositestatement and proof · cited by 1,135
- Invertiblestatement and proof · cited by 549
- Invertible.invOfstatement and proof · cited by 268
- TrivSqZeroExtstatement and proof · cited by 180
- TrivSqZeroExt.fststatement and proof · cited by 96
- Invertible.congrproof · cited by 18
- TrivSqZeroExt.invertibleFstOfInvertibleproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- TrivSqZeroExt.invOf_eq_invproof · cited by 1