Theorems · Theorem · group theory
Submonoid.LocalizationMap.mulEquivOfLocalizations_right_inv
∀ {M : Type u_1} [inst : CommMonoid M] {S : Submonoid M} {N : Type u_2} [inst_1 : CommMonoid N] {P : Type u_3}
[inst_2 : CommMonoid P] (f : S.LocalizationMap N) (k : S.LocalizationMap P),
f.ofMulEquivOfLocalizations (f.mulEquivOfLocalizations k) = k- Cited by
- 1 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Submonoid.LocalizationMapstatement and proof · cited by 147
- Submonoid.LocalizationMap.map_unitsproof · cited by 46
- Submonoid.LocalizationMap.ofMulEquivOfLocalizationsstatement and proof · cited by 13
- Submonoid.LocalizationMap.mulEquivOfLocalizationsstatement and proof · cited by 8
- Submonoid.LocalizationMap.lift_compproof · cited by 5
- Submonoid.LocalizationMap.toMonoidHom_injectiveproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Submonoid.LocalizationMap.of_mulEquivOfMulEquiv_applyproof · cited by 1