Theorems · Theorem · group theory
Monoid.Coprod.swap_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') (x : Monoid.Coprod M N),
(Monoid.Coprod.swap M' N') ((Monoid.Coprod.map f g) x) = (Monoid.Coprod.map g f) ((Monoid.Coprod.swap M N) 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
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- MonoidHomstatement and proof · cited by 3,629
- MulOneClassstatement and proof · cited by 1,018
- DFunLike.congr_funproof · cited by 288
- Monoid.Coprodstatement and proof · cited by 109
- Monoid.Coprod.swapstatement · cited by 25
- Monoid.Coprod.mapstatement · cited by 12
- Monoid.Coprod.swap_comp_mapproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.