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Theorems · Definition · group theory

Set.addActionSet

{α : Type u_2} → {β : Type u_3} → [inst : AddMonoid α] → [AddAction α β] → AddAction α (Set β)

An additive action of an additive monoid on a type β gives an additive action on Set β.

Defined in
Mathlib.Algebra.Group.Action.Pointwise.Set.Basic
Cited by
39 results in Mathlib
Foundations
Depth 11 from the axioms · uses propext, Quot.sound
Assumes
AddMonoidAddAction

Around this declaration

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

Cites3

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

  • Setstatement and proof · cited by 53,352
  • AddMonoidstatement and proof · cited by 2,864
  • AddActionstatement and proof · cited by 820

Cited by39

Results whose statement or proof uses this declaration.