Theorems · Definition · group theory

AddSubmonoid.LocalizationMap.addEquivOfLocalizations

{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] → S.LocalizationMap N → S.LocalizationMap P → N ≃+ P

If f : M →+ N and k : M →+ R are Localization maps for an AddSubmonoid S, we get an isomorphism of N and R.

Defined in

Mathlib.GroupTheory.MonoidLocalization.Maps

Cited by

8 results in Mathlib

Foundations

Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidAddCommMonoidAddCommMonoid