Theorems · Theorem · group theory
AddSubmonoid.LocalizationMap.epic_of_localizationMap
∀ {M : Type u_1} [inst : AddCommMonoid M] {S : AddSubmonoid M} {N : Type u_2} [inst_1 : AddCommMonoid N]
(f : S.LocalizationMap N) {P : Type u_4} [inst_2 : AddMonoid P] {j k : N →+ P},
j.comp f.toAddMonoidHom = k.comp f.toAddMonoidHom → j = k- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
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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
- AddCommMonoidstatement and proof · cited by 12,281
- AddMonoidHomstatement and proof · cited by 3,230
- AddMonoidstatement and proof · cited by 2,864
- AddSubmonoidstatement and proof · cited by 1,178
- AddMonoidHom.compstatement and proof · cited by 339
- AddMonoidHom.extproof · cited by 149
- AddSubmonoid.LocalizationMapstatement and proof · cited by 119
- AddMonoidHom.map_addproof · cited by 48
- AddSubmonoid.LocalizationMap.map_addUnitsproof · cited by 36
- AddSubmonoid.LocalizationMap.toAddMonoidHomstatement and proof · cited by 29
- IsAddUnit.mapproof · cited by 16
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