Theorems · Theorem · group theory
SubMulAction.fixingSubgroup_map_conj_eq
∀ {M : Type u_1} {α : Type u_2} [inst : Group M] [inst_1 : MulAction M α] {s t : Set α} {g : M},
g • t = s → Subgroup.map (MulEquiv.toMonoidHom (MulAut.conj g)) (fixingSubgroup M t) = fixingSubgroup M s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
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
- Setstatement and proof · cited by 53,352
- Groupstatement and proof · cited by 6,238
- mul_oneproof · cited by 3,885
- MonoidHomstatement · cited by 3,629
- Subgroupstatement · cited by 3,593
- one_mulproof · cited by 2,841
- MulActionstatement and proof · cited by 1,294
- Set.smulSetstatement · cited by 608
- inv_invproof · cited by 494
- Subgroup.mapstatement · cited by 301
- neg_add_cancelproof · cited by 256
Cited by2
Results whose statement or proof uses this declaration.
- SubMulAction.fixingSubgroupEquivFixingSubgroupproof · cited by 5
- SubMulAction.fixingSubgroup_smul_eq_fixingSubgroup_map_conjproof · cited by 0