Theorems · Theorem · ring theory
TrivSqZeroExt.inv_inv
∀ {R : Type u} {M : Type v} [inst : DivisionSemiring R] [inst_1 : AddCommGroup M] [inst_2 : Module Rᵐᵒᵖ M]
[inst_3 : Module R M] [SMulCommClass R Rᵐᵒᵖ M] {x : TrivSqZeroExt R M}, x.fst ≠ 0 → x⁻¹⁻¹ = x- Defined in
- Mathlib.Algebra.TrivSqZeroExt.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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
- AddCommGroupstatement and proof · cited by 12,871
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- SMulCommClassstatement and proof · cited by 1,927
- mul_assocproof · cited by 1,667
- MulOppositestatement and proof · cited by 1,135
- DivisionSemiringstatement and proof · cited by 216
- TrivSqZeroExtstatement and proof · cited by 180
- inv_ne_zeroproof · cited by 99
- TrivSqZeroExt.fststatement and proof · cited by 96
- TrivSqZeroExt.fst_invproof · cited by 4
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