Theorems · Definition · group theory

MulEquiv.coprodCongr

{M : Type u_1} →
  {N : Type u_2} →
    {M' : Type u_3} →
      {N' : Type u_4} →
        [inst : MulOneClass M] →
          [inst_1 : MulOneClass N] →
            [inst_2 : MulOneClass M'] →
              [inst_3 : MulOneClass N'] → M ≃* N → M' ≃* N' → Monoid.Coprod M M' ≃* Monoid.Coprod N N'

Lift two monoid equivalences e : M ≃* N and e' : M' ≃* N' to a monoid equivalence (M ∗ M') ≃* (N ∗ N').

Defined in

Mathlib.GroupTheory.Coprod.Basic

Cited by

2 results in Mathlib

Foundations

Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MulOneClassMulOneClassMulOneClassMulOneClass