Theorems · Theorem · group theory
Monoid.Coprod.swap_comp_map
∀ {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'] (f : M →* M') (g : N →* N'),
(Monoid.Coprod.swap M' N').comp (Monoid.Coprod.map f g) = (Monoid.Coprod.map g f).comp (Monoid.Coprod.swap M N)- Defined in
- Mathlib.GroupTheory.Coprod.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonoidHomstatement and proof · cited by 3,629
- MulOneClassstatement and proof · cited by 1,018
- MonoidHom.compstatement · cited by 469
- Monoid.Coprodstatement · cited by 109
- Monoid.Coprod.swapstatement · cited by 25
- Monoid.Coprod.hom_extproof · cited by 14
- Monoid.Coprod.mapstatement · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- Monoid.Coprod.swap_mapproof · cited by 0