Theorems · Theorem · group theory
SubMulAction.ofFixingSubgroupEmpty_equivariantMap_bijective
∀ {M : Type u_1} {α : Type u_2} [inst : Group M] [inst_1 : MulAction M α],
Function.Bijective ⇑(SubMulAction.ofFixingSubgroup_equivariantMap M ∅)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 28 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 · cited by 62,936
- Setstatement · cited by 53,352
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement · cited by 3,629
- Subgroupstatement · cited by 3,593
- MulActionstatement and proof · cited by 1,294
- Function.Bijectivestatement · cited by 863
- Subgroup.subtypestatement · cited by 185
- MulActionHomstatement · cited by 124
- SubMulActionstatement · cited by 120
- fixingSubgroupstatement · cited by 83
- SubMulAction.ofFixingSubgroupstatement · cited by 43
Cited by1
Results whose statement or proof uses this declaration.
- MulAction.isPreprimitive_of_fixingSubgroup_empty_iffproof · cited by 1