Theorems · Theorem · group theory
AddMonoid.Coprod.lift_comp_swap
∀ {M : Type u_1} {N : Type u_2} {P : Type u_3} [inst : AddZeroClass M] [inst_1 : AddZeroClass N] [inst_2 : AddMonoid P]
(f : M →+ P) (g : N →+ P), (AddMonoid.Coprod.lift f g).comp (AddMonoid.Coprod.swap N M) = AddMonoid.Coprod.lift g f- Defined in
- Mathlib.GroupTheory.Coprod.Basic
- Cited by
- 3 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidHomstatement and proof · cited by 3,230
- AddMonoidstatement and proof · cited by 2,864
- AddZeroClassstatement and proof · cited by 1,237
- AddMonoidHom.compstatement · cited by 339
- AddMonoid.Coprodstatement · cited by 104
- AddMonoid.Coprod.swapstatement · cited by 25
- AddMonoid.Coprod.liftstatement · cited by 13
- AddMonoid.Coprod.hom_extproof · cited by 12
Cited by3
Results whose statement or proof uses this declaration.
- AddMonoid.Coprod.lift_swapproof · cited by 2
- AddMonoid.Coprod.snd_comp_swapproof · cited by 0
- AddMonoid.Coprod.fst_comp_swapproof · cited by 0