Theorems · Theorem · ring theory
TrivSqZeroExt.inv_zero
∀ {R : Type u} {M : Type v} [inst : DivisionSemiring R] [inst_1 : AddCommGroup M] [inst_2 : Module Rᵐᵒᵖ M]
[inst_3 : Module R M], 0⁻¹ = 0- Defined in
- Mathlib.Algebra.TrivSqZeroExt.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- MulOppositestatement and proof · cited by 1,135
- DivisionSemiringstatement and proof · cited by 216
- inv_zeroproof · cited by 184
- TrivSqZeroExtstatement and proof · cited by 180
- TrivSqZeroExt.inlproof · cited by 64
- TrivSqZeroExt.inl_zeroproof · cited by 3
- TrivSqZeroExt.inv_inlproof · cited by 2
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