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Theorems · Definition · group theory

DistribMulAction.toAddEquiv

{G : Type u_1} → (A : Type u_3) → [inst : Group G] → [inst_1 : AddMonoid A] → [DistribMulAction G A] → G → A ≃+ A

Each element of the group defines an additive monoid isomorphism. This is a stronger version of MulAction.toPerm.

Defined in
Mathlib.Algebra.GroupWithZero.Action.Basic
Cited by
3 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupAddMonoidDistribMulAction

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