Theorems · Definition · group theory
Submonoid.LocalizationMap.casesOn
{M : Type u_1} →
[inst : CommMonoid M] →
{S : Submonoid M} →
{N : Type u_2} →
[inst_1 : CommMonoid N] →
{motive : S.LocalizationMap N → Sort u} →
(t : S.LocalizationMap N) →
((toMulHom : M →ₙ* N) →
(isLocalizationMap : S.IsLocalizationMap toMulHom.toFun) →
motive { toMulHom := toMulHom, isLocalizationMap := isLocalizationMap }) →
motive t- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- CommMonoidCommMonoid
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.
- Submonoidstatement and proof · cited by 3,086
- CommMonoidstatement and proof · cited by 2,264
- MulHomstatement and proof · cited by 299
- Submonoid.LocalizationMapstatement and proof · cited by 147
- MulHom.toFunstatement and proof · cited by 36
- Submonoid.IsLocalizationMapstatement and proof · cited by 19
Cited by3
Results whose statement or proof uses this declaration.
- Submonoid.LocalizationMap.toMonoidHom_injectiveproof · cited by 1
- Submonoid.LocalizationMap.noConfusionproof · cited by 0
- Submonoid.LocalizationMap.noConfusionTypeproof · cited by 0