Theorems · Theorem · group theory

Submonoid.LocalizationMap.of_mulEquivOfMulEquiv_apply

∀ {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) {T : Submonoid P} {Q : Type u_4} [inst_3 : CommMonoid Q]
  {k : T.LocalizationMap Q} {j : M ≃* P} (H : Submonoid.map j.toMonoidHom S = T) (x : M),
  (f.ofMulEquivOfLocalizations (f.mulEquivOfMulEquiv k H)) x = k (j x)

Defined in

Mathlib.GroupTheory.MonoidLocalization.Maps

Cited by

1 results in Mathlib

Foundations

Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidCommMonoidCommMonoidCommMonoid