Theorems · Theorem · group theory

AddSubmonoid.LocalizationMap.ofAddEquivOfDom_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) {T : AddSubmonoid P} {k : P ≃+ M}
  (H : AddSubmonoid.map k.toAddMonoidHom T = S),
  (f.ofAddEquivOfDom H).toAddMonoidHom = f.toAddMonoidHom.comp k.toAddMonoidHom

Defined in

Mathlib.GroupTheory.MonoidLocalization.Maps

Cited by

0 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Quot.sound

Assumes

AddCommMonoidAddCommMonoidAddCommMonoid