Theorems · Theorem · group theory
MulAction.toPerm_symm_apply
∀ {α : Type u_5} {β : Type u_6} [inst : Group α] [inst_1 : MulAction α β] (a : α) (x : β),
(Equiv.symm (MulAction.toPerm a)) x = a⁻¹ • x- Defined in
- Mathlib.Algebra.Group.Action.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Groupstatement and proof · cited by 6,238
- Equiv.symmstatement and proof · cited by 3,681
- MulActionstatement and proof · cited by 1,294
- MulAction.toPermstatement and proof · cited by 30
Cited by3
Results whose statement or proof uses this declaration.
- MulAction.mem_stabilizer_setproof · cited by 1
- Subgroup.leftTransversals.smul_diff_smulproof · cited by 1
- Subgroup.smul_diff_smul'proof · cited by 0