Theorems · Theorem · group theory

Submonoid.LocalizationMap.ofMulEquivOfLocalizations_comp

∀ {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) {Q : Type u_4} [inst_3 : CommMonoid Q] {k : N ≃* P} {j : P ≃* Q},
  (f.ofMulEquivOfLocalizations (k.trans j)).toMonoidHom = j.toMonoidHom.comp (f.ofMulEquivOfLocalizations k).toMonoidHom

Defined in

Mathlib.GroupTheory.MonoidLocalization.Maps

Cited by

0 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidCommMonoidCommMonoidCommMonoid