Theorems · Theorem · group theory
SubMulAction.conjMap_ofFixingSubgroup_bijective
∀ {M : Type u_1} {α : Type u_2} [inst : Group M] [inst_1 : MulAction M α] {s t : Set α} {g : M} {hst : g • s = t},
Function.Bijective ⇑(SubMulAction.conjMap_ofFixingSubgroup hst)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- Subgroupstatement · cited by 3,593
- MulActionstatement and proof · cited by 1,294
- MulEquivstatement · cited by 1,142
- Function.Bijectivestatement · cited by 863
- Set.smulSetstatement · cited by 608
- MulActionHomstatement · cited by 124
- SubMulActionstatement · cited by 120
- fixingSubgroupstatement · cited by 83
- smul_inv_smulproof · cited by 53
Cited by1
Results whose statement or proof uses this declaration.
- MulAction.isPreprimitive_ofFixingSubgroup_conj_iffproof · cited by 1