Theorems · Theorem · group theory
Submonoid.LocalizationMap.mulEquivOfLocalizations_left_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 : N ≃* P),
f.mulEquivOfLocalizations (f.ofMulEquivOfLocalizations 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.
Cites10
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
- MulEquivstatement and proof · cited by 1,142
- DFunLike.extproof · cited by 240
- Submonoid.LocalizationMapstatement and proof · cited by 147
- MulEquiv.toMonoidHomproof · cited by 126
- DFunLike.ext_iffproof · cited by 102
- Submonoid.LocalizationMap.ofMulEquivOfLocalizationsstatement and proof · cited by 13
- Submonoid.LocalizationMap.mulEquivOfLocalizationsstatement and proof · cited by 8
- Submonoid.LocalizationMap.lift_of_compproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Submonoid.LocalizationMap.mulEquivOfLocalizations_left_inv_applyproof · cited by 0