Theorems · Definition · group theory
Submonoid.LocalizationMap.toMulHom
{M : Type u_1} →
[inst : CommMonoid M] → {S : Submonoid M} → {N : Type u_2} → [inst_1 : CommMonoid N] → S.LocalizationMap N → M →ₙ* NThe multiplicative homomorphism underlying a LocalizationMap.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- CommMonoidCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Submonoidstatement and proof · cited by 3,086
- CommMonoidstatement and proof · cited by 2,264
- MulHomstatement · cited by 299
- Submonoid.LocalizationMapstatement and proof · cited by 147
Cited by4
Results whose statement or proof uses this declaration.
- Submonoid.LocalizationMap.toMonoidHomproof · cited by 33
- Submonoid.LocalizationMap.isLocalizationMapstatement · cited by 5
- Submonoid.LocalizationMap.toMonoidHom_injectiveproof · cited by 1
- Localization.ringTopologyproof · cited by 0