Theorems · Theorem · group theory
SubAddAction.ofFixingAddSubgroupEmpty_equivariantMap_bijective
∀ {M : Type u_1} {α : Type u_2} [inst : AddGroup M] [inst_1 : AddAction M α],
Function.Bijective ⇑(SubAddAction.ofFixingAddSubgroup_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
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddMonoidHomstatement · cited by 3,230
- Function.Bijectivestatement · cited by 863
- AddActionstatement and proof · cited by 820
- SubAddActionstatement · cited by 86
- AddActionHomstatement · cited by 82
- AddSubgroup.subtypestatement · cited by 82
- fixingAddSubgroupstatement · cited by 50
- Set.notMem_emptyproof · cited by 35
Cited by1
Results whose statement or proof uses this declaration.
- AddAction.isPreprimitive_of_fixingAddSubgroup_empty_iffproof · cited by 1