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Theorems · Definition · group theory

AddEquiv.coprodComm

(M : Type u_1) →
  (N : Type u_2) → [inst : AddZeroClass M] → [inst_1 : AddZeroClass N] → AddMonoid.Coprod M N ≃+ AddMonoid.Coprod N M

An AddEquiv version of AddMonoid.Coprod.swap.

Defined in
Mathlib.GroupTheory.Coprod.Basic
Cited by
2 results in Mathlib
Foundations
Depth 69 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_apply · cited by 0AddEquiv.coprodComm_applyAddEquiv.coprodComm_symm_apply · cited by 0AddEquiv.coprodComm_symm_…AddZeroClass · cited by 1237AddZeroClassAddEquiv · cited by 1087AddEquivAddMonoid.Coprod · cited by 104AddMonoid.CoprodAddMonoid.Coprod.swap · cited by 25Coprod.swapAddMonoidHom.toAddEquiv · cited by 3AddMonoidHom.toAddEquivAddMonoid.Coprod.swap_comp_swap · cited by 1Coprod.swap_comp_swapAddEquiv.coprodCommCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.