Mathlib Map

Theorems · Definition · group theory

CommMonoidWithZero.toZero

{M₀ : Type u_2} → [self : CommMonoidWithZero M₀] → Zero M₀
Defined in
Mathlib.Algebra.GroupWithZero.Defs
Cited by
10 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
Assumes
CommMonoidWithZero
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CommGroupWithZero.mul_inv_cancel · cited by 1CommGroupWithZero.mul_inv…CancelCommMonoidWithZero.mk.inj · cited by 1mk.injCancelCommMonoidWithZero.mk.noConfusion · cited by 1mk.noConfusionCommGroupWithZero.mk.noConfusion · cited by 0mk.noConfusionLinearOrderedCommGroupWithZero.casesOn · cited by 0LinearOrderedCommGroupWit…LinearOrderedCommGroupWithZero.inv_zero · cited by 0LinearOrderedCommGroupWit…LinearOrderedCommGroupWithZero.mul_inv_cancel · cited by 0LinearOrderedCommGroupWit…LinearOrderedCommGroupWithZero.recOn · cited by 0LinearOrderedCommGroupWit…CommGroupWithZero.casesOn · cited by 0CommGroupWithZero.casesOnCommGroupWithZero.inv_zero · cited by 0CommGroupWithZero.inv_zeroLinearOrderedCommGroupWithZero.mk.noConfusion · cited by 0mk.noConfusionCancelCommMonoidWithZero.mk.injEq · cited by 0mk.injEqCommMonoidWithZero.mul_zero · cited by 0CommMonoidWithZero.mul_ze…CommGroupWithZero.recOn · cited by 0CommGroupWithZero.recOnCancelCommMonoidWithZero.mk.sizeOf_spec · cited by 0mk.sizeOf_specCommMonoidWithZero · cited by 913CommMonoidWithZeroCommMonoidWithZero.toZeroCITED BYCITES

Cites1

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

Cited by22

Results whose statement or proof uses this declaration.