Theorems · Definition · group theory
divMonoidWithZeroHom
{M₀ : Type u_1} → [inst : CommGroupWithZero M₀] → M₀ × M₀ →*₀ M₀Division as a multiplicative homomorphism with zero.
- Defined in
- Mathlib.Algebra.GroupWithZero.Prod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommGroupWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonoidHomproof · cited by 3,629
- MonoidWithZeroHomstatement · cited by 704
- OneHom.toFunproof · cited by 132
- MonoidHom.toOneHomproof · cited by 132
- CommGroupWithZerostatement and proof · cited by 94
- divMonoidHomproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- divMonoidWithZeroHom_applystatement and proof · cited by 0