Theorems · Theorem · group theory
MulAction.toPermHom_apply
∀ (G : Type u_1) (α : Type u_5) [inst : Group G] [inst_1 : MulAction G α] (a : G), (MulAction.toPermHom G α) a = MulAction.toPerm a
- Defined in
- Mathlib.Algebra.Group.Action.End
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement · cited by 3,629
- Equiv.Permstatement · cited by 1,375
- MulActionstatement and proof · cited by 1,294
- MulAction.toPermstatement · cited by 30
- MulAction.toPermHomstatement and proof · cited by 16
Cited by7
Results whose statement or proof uses this declaration.
- HNNExtension.NormalWord.of_smul_eq_smulproof · cited by 4
- Set.powersetCard.fixedPoints_ne_univ_of_faithfulSMulproof · cited by 3
- Projectivization.SL_mulAction_kerproof · cited by 1
- smul_eq_self_of_mem_zpowersproof · cited by 1
- Equiv.Perm.isMultiplyPretransitive_of_nontrivialproof · cited by 0
- Equiv.Perm.OnCycleFactors.mem_ker_toPermHom_iffproof · cited by 0