Theorems · Theorem · group theory

AddSubmonoid.LocalizationMap.lift_eq

∀ {M : Type u_1} [inst : AddCommMonoid M] {S : AddSubmonoid M} {N : Type u_2} [inst_1 : AddCommMonoid N] {P : Type u_3}
  [inst_2 : AddCommMonoid P] (f : S.LocalizationMap N) {g : M →+ P} (hg : ∀ (y : ↥S), IsAddUnit (g ↑y)) (x : M),
  (f.lift hg) (f x) = g x

Defined in

Mathlib.GroupTheory.MonoidLocalization.Maps

Cited by

8 results in Mathlib

Foundations

Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidAddCommMonoidAddCommMonoid