Theorems · Definition · group theory
MonoidWithZeroHom.toMonoidHom
{α : Type u_7} → {β : Type u_8} → [inst : MulZeroOneClass α] → [inst_1 : MulZeroOneClass β] → (α →*₀ β) → α →* β- Defined in
- Mathlib.Algebra.GroupWithZero.Hom
- Cited by
- 39 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonoidHomstatement · cited by 3,629
- MonoidWithZeroHomstatement and proof · cited by 704
- MulZeroOneClassstatement and proof · cited by 184
- ZeroHom.toFunproof · cited by 101
- MonoidWithZeroHom.toZeroHomproof · cited by 35
- MonoidWithZeroHom.map_one'proof · cited by 3
- MonoidWithZeroHom.map_mul'proof · cited by 2
Cited by49
Results whose statement or proof uses this declaration.
- norm_powproof · cited by 106
- abs_powproof · cited by 36
- ValuationSubring.unitGroupproof · cited by 16
- norm_prodproof · cited by 13
- Valuation.map_negproof · cited by 11
- WithZero.lift'proof · cited by 10
- ENNReal.toReal_powproof · cited by 9
- nnnorm_powproof · cited by 8
- Valuation.map_sub_swapproof · cited by 7
- Valuation.map_powproof · cited by 4
- Submodule.range_unitsToPicproof · cited by 4
- Valuation.extendToLocalizationproof · cited by 4