Theorems · Theorem · group theory
Submonoid.LocalizationMap.isUnit_comp
∀ {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) (j : N →* P) (y : ↥S), IsUnit ((j.comp f.toMonoidHom) ↑y)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
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.coestatement and proof · cited by 62,936
- MonoidHomstatement and proof · cited by 3,629
- Submonoidstatement and proof · cited by 3,086
- CommMonoidstatement and proof · cited by 2,264
- Units.valproof · cited by 1,966
- IsUnitstatement · cited by 1,602
- MonoidHom.compstatement · cited by 469
- Submonoid.LocalizationMapstatement and proof · cited by 147
- Units.mapproof · cited by 95
- MonoidHom.domRestrictproof · cited by 59
- Submonoid.LocalizationMap.map_unitsproof · cited by 46
- IsUnit.liftRightproof · cited by 36
Cited by2
Results whose statement or proof uses this declaration.
- Submonoid.LocalizationMap.lift_of_compstatement and proof · cited by 3
- IsLocalization.isUnit_compproof · cited by 2