Theorems · Definition · group theory

AddEquiv.coprodCongr

{M : Type u_1} →
  {N : Type u_2} →
    {M' : Type u_3} →
      {N' : Type u_4} →
        [inst : AddZeroClass M] →
          [inst_1 : AddZeroClass N] →
            [inst_2 : AddZeroClass M'] →
              [inst_3 : AddZeroClass N'] → M ≃+ N → M' ≃+ N' → AddMonoid.Coprod M M' ≃+ AddMonoid.Coprod N N'

Lift two additive monoid equivalences e : M ≃+ N and e' : M' ≃+ N' to an additive monoid equivalence (AddMonoid.Coprod M M') ≃+ (AddMonoid.Coprod 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

AddZeroClassAddZeroClassAddZeroClassAddZeroClass