Theorems · Theorem · group theory
SubMulAction.ofFixingSubgroup_insert_map_bijective
∀ {M : Type u_1} {α : Type u_2} [inst : Group M] [inst_1 : MulAction M α] {a : α}
{s : Set ↥(SubMulAction.ofStabilizer M a)}, Function.Bijective ⇑(SubMulAction.ofFixingSubgroup_insert_map a s)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- Set.imagestatement and proof · cited by 5,609
- Subgroupstatement · cited by 3,593
- MulActionstatement and proof · cited by 1,294
- MulEquivstatement · cited by 1,142
- Function.Bijectivestatement · cited by 863
- MulAction.stabilizerstatement and proof · cited by 254
- MulActionHomstatement · cited by 124
- SubMulActionstatement · cited by 120
- fixingSubgroupstatement · cited by 83
Cited by3
Results whose statement or proof uses this declaration.
- MulAction.IsPreprimitive.isMultiplyPreprimitiveproof · cited by 2
- MulAction.isMultiplyPreprimitive_ofStabilizerproof · cited by 1
- MulAction.isPreprimitive_fixingSubgroup_insert_iffproof · cited by 1