Theorems · Theorem · group theory
Submonoid.LocalizationMap.epic_of_localizationMap
∀ {M : Type u_1} [inst : CommMonoid M] {S : Submonoid M} {N : Type u_2} [inst_1 : CommMonoid N]
(f : S.LocalizationMap N) {P : Type u_4} [inst_2 : Monoid P] {j k : N →* P},
j.comp f.toMonoidHom = k.comp f.toMonoidHom → j = k- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- CommMonoidCommMonoidMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- Submonoidstatement and proof · cited by 3,086
- CommMonoidstatement and proof · cited by 2,264
- MonoidHom.compstatement and proof · cited by 469
- Submonoid.LocalizationMapstatement and proof · cited by 147
- MonoidHom.extproof · cited by 109
- IsUnit.mapproof · cited by 104
- Submonoid.LocalizationMap.map_unitsproof · cited by 46
- MonoidHom.map_mulproof · cited by 37
- Submonoid.LocalizationMap.toMonoidHomstatement and proof · cited by 33
Cited by1
Results whose statement or proof uses this declaration.
- IsLocalization.monoidHom_extproof · cited by 2