Theorems · Theorem · group theory
AddAction.toPermHom_apply_symm_apply
∀ (G : Type u_1) (α : Type u_5) [inst : AddGroup G] [inst_1 : AddAction G α] (a : G) (x : α), (Equiv.symm ((AddAction.toPermHom G α) a)) x = (Multiplicative.ofAdd a)⁻¹ • x
- Defined in
- Mathlib.Algebra.Group.Action.End
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement · cited by 8,337
- AddGroupstatement and proof · cited by 4,410
- Equiv.symmstatement and proof · cited by 3,681
- AddMonoidHomstatement · cited by 3,230
- Equiv.Permstatement · cited by 1,375
- Multiplicativestatement · cited by 875
- AddActionstatement and proof · cited by 820
- Additivestatement · cited by 356
- Multiplicative.ofAddstatement · cited by 237
- AddAction.toPermHomstatement and proof · cited by 3
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