Theorems · Theorem · group theory

AddMonoid.Coprod.map_map

∀ {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'' : Type u_6} {N'' : Type u_7} [inst_4 : AddZeroClass M'']
  [inst_5 : AddZeroClass N''] (f' : M' →+ M'') (g' : N' →+ N'') (f : M →+ M') (g : N →+ N') (x : AddMonoid.Coprod M N),
  (AddMonoid.Coprod.map f' g') ((AddMonoid.Coprod.map f g) x) = (AddMonoid.Coprod.map (f'.comp f) (g'.comp g)) x

Defined in

Mathlib.GroupTheory.Coprod.Basic

Cited by

0 results in Mathlib

Foundations

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

Assumes

AddZeroClassAddZeroClassAddZeroClassAddZeroClassAddZeroClassAddZeroClass