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Theorems · Theorem · group theory

AddMonoid.Coprod.swap_comp_swap

∀ (M : Type u_1) (N : Type u_2) [inst : AddZeroClass M] [inst_1 : AddZeroClass N],
  (AddMonoid.Coprod.swap M N).comp (AddMonoid.Coprod.swap N M) = AddMonoidHom.id (AddMonoid.Coprod N M)
Defined in
Mathlib.GroupTheory.Coprod.Basic
Cited by
1 results in Mathlib
Foundations
Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddZeroClassAddZeroClass
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddEquiv.coprodComm · cited by 2AddEquiv.coprodCommAddMonoid.Coprod.swap_swap · cited by 2Coprod.swap_swapAddMonoidHom · cited by 3230AddMonoidHomAddZeroClass · cited by 1237AddZeroClassAddMonoidHom.comp · cited by 339AddMonoidHom.compAddMonoidHom.id · cited by 107AddMonoidHom.idAddMonoid.Coprod · cited by 104AddMonoid.CoprodAddMonoid.Coprod.swap · cited by 25Coprod.swapAddMonoid.Coprod.hom_ext · cited by 12Coprod.hom_extCoprod.swap_comp_swapCITED BYCITES

Cites7

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Cited by2

Results whose statement or proof uses this declaration.