Theorems · Theorem · group theory
Submonoid.LocalizationMap.AwayMap.lift_comp
∀ {M : Type u_1} [inst : CommMonoid M] {N : Type u_2} [inst_1 : CommMonoid N] {P : Type u_3} [inst_2 : CommMonoid P]
{g : M →* P} (x : M) (F : Submonoid.LocalizationMap.AwayMap x N) (hg : IsUnit (g x)),
(Submonoid.LocalizationMap.AwayMap.lift x F hg).comp ↑F = g- Cited by
- 0 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- CommMonoidstatement and proof · cited by 2,264
- IsUnitstatement and proof · cited by 1,602
- MonoidHom.compstatement · cited by 469
- Submonoid.powersstatement · cited by 408
- MonoidHomClass.toMonoidHomstatement · cited by 294
- Submonoid.LocalizationMap.lift_compproof · cited by 5
- Submonoid.LocalizationMap.AwayMap.liftstatement · cited by 2
- Submonoid.LocalizationMap.AwayMapstatement and proof · cited by 2
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