Theorems · Definition · group theory

AddEquiv.prodCongr

{M : Type u_3} →
  {N : Type u_4} →
    [inst : AddZeroClass M] →
      [inst_1 : AddZeroClass N] →
        {M' : Type u_6} →
          {N' : Type u_7} →
            [inst_2 : AddZeroClass N'] → [inst_3 : AddZeroClass M'] → M ≃+ M' → N ≃+ N' → M × N ≃+ M' × N'

Product of additive isomorphisms; the maps come from Equiv.prodCongr.

Defined in

Mathlib.Algebra.Group.Prod

Cited by

4 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Quot.sound

Assumes

AddZeroClassAddZeroClassAddZeroClassAddZeroClass