Theorems · Theorem · group theory
AddMonoid.Coprod.swap_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'] (f : M →+ M') (g : N →+ N') (x : AddMonoid.Coprod M N),
(AddMonoid.Coprod.swap M' N') ((AddMonoid.Coprod.map f g) x) =
(AddMonoid.Coprod.map g f) ((AddMonoid.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
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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
- AddMonoidHomstatement and proof · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- DFunLike.congr_funproof · cited by 288
- AddMonoid.Coprodstatement and proof · cited by 104
- AddMonoid.Coprod.swapstatement · cited by 25
- AddMonoid.Coprod.mapstatement · cited by 12
- AddMonoid.Coprod.swap_comp_mapproof · cited by 1
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