Theorems · Theorem · group theory
Set.addConj_mem_fixingAddSubgroup
∀ {M : Type u_1} {α : Type u_2} [inst : AddGroup M] [inst_1 : AddAction M α] {s t : Set α} {g : M},
g +ᵥ t = s → ∀ {k : M}, k ∈ fixingAddSubgroup M t → (AddAut.addConj g) k ∈ fixingAddSubgroup M s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, 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 · cited by 62,936
- Setstatement and proof · cited by 53,352
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddMonoidHomstatement · cited by 3,230
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddEquivstatement · cited by 1,087
- AddActionstatement and proof · cited by 820
- Set.vaddSetstatement · cited by 403
- AddAutstatement · cited by 75
- fixingAddSubgroupstatement and proof · cited by 50
- AddSemigroupAction.add_vaddproof · cited by 43
Cited by1
Results whose statement or proof uses this declaration.
- SubAddAction.fixingAddSubgroup_map_addConj_eqproof · cited by 1