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Theorems · Theorem · group theory

Ring.inverse_zero

∀ (M₀ : Type u_2) [inst : MonoidWithZero M₀], Ring.inverse 0 = 0
Defined in
Mathlib.Algebra.GroupWithZero.Units.Basic
Cited by
2 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MonoidWithZero
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MulChar.IsQuadratic.inv · cited by 2IsQuadratic.invCFC.sqrt_ringInverse · cited by 0CFC.sqrt_ringInverseNontrivial · cited by 2416NontrivialMonoidWithZero · cited by 456MonoidWithZeroRing.inverse · cited by 160Ring.inverseRing.inverse_non_unit · cited by 26Ring.inverse_non_unitnot_isUnit_zero · cited by 20not_isUnit_zeroRing.inverse_zeroCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.