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Theorems · Definition · group theory

AddActionHom.End.equivAddOpposite

{M : Type u_2} → [inst : AddMonoid M] → (M →ₑ[id] M) ≃+ Mᵃᵒᵖ

The M-equivariant functions from an additive monoid M to itself are exactly right additions by elements of M.

Defined in
Mathlib.GroupTheory.GroupAction.Hom
Cited by
2 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Quot.sound
Assumes
AddMonoid
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Around this declaration

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

AddActionHom.End.equivAddOpposite_apply · cited by 0End.equivAddOpposite_applyAddActionHom.End.equivAddOpposite_symm_apply_apply · cited by 0End.equivAddOpposite_symm…DFunLike.coe · cited by 62936DFunLike.coeAddMonoid · cited by 2864AddMonoidAddEquiv · cited by 1087AddEquivAddOpposite · cited by 452AddOppositeAddOpposite.op · cited by 192AddOpposite.opAddOpposite.unop · cited by 125AddOpposite.unopAddActionHom · cited by 82AddActionHomEnd.equivAddOppositeCITED BYCITES

Cites7

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Cited by2

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