Theorems · Theorem · group theory

AddSubmonoid.LocalizationMap.of_addEquivOfAddEquiv

∀ {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} {Q : Type u_4} [inst_3 : AddCommMonoid Q]
  {k : T.LocalizationMap Q} {j : M ≃+ P} (H : AddSubmonoid.map j.toAddMonoidHom S = T),
  (f.ofAddEquivOfLocalizations (f.addEquivOfAddEquiv k H)).toAddMonoidHom = k.toAddMonoidHom.comp j.toAddMonoidHom

Defined in

Mathlib.GroupTheory.MonoidLocalization.Maps

Cited by

0 results in Mathlib

Foundations

Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidAddCommMonoidAddCommMonoidAddCommMonoid