Theorems · Theorem · group theory
SubAddAction.ofFixingAddSubgroup_insert_map_bijective
∀ {M : Type u_1} {α : Type u_2} [inst : AddGroup M] [inst_1 : AddAction M α] {a : α}
{s : Set ↥(SubAddAction.ofStabilizer M a)}, Function.Bijective ⇑(SubAddAction.ofFixingAddSubgroup_insert_map a s)- Cited by
- 2 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.
Cites18
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
- Set.imagestatement and proof · cited by 5,609
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddEquivstatement · cited by 1,087
- Function.Bijectivestatement · cited by 863
- AddActionstatement and proof · cited by 820
- AddAction.stabilizerstatement and proof · cited by 112
- SubAddActionstatement · cited by 86
- AddActionHomstatement · cited by 82
- fixingAddSubgroupstatement · cited by 50
Cited by2
Results whose statement or proof uses this declaration.
- AddAction.isMultiplyPreprimitive_ofStabilizerproof · cited by 1
- AddAction.isPreprimitive_fixingAddSubgroup_insert_iffproof · cited by 1