Theorems · Theorem · group theory
AddAction.stabilizerEquivStabilizer_apply
∀ {G : Type u_1} {α : Type u_2} [inst : AddGroup G] [inst_1 : AddAction G α] {g : G} {a b : α} (hg : b = g +ᵥ a)
(x : ↥(AddAction.stabilizer G a)), ↑((AddAction.stabilizerEquivStabilizer hg) x) = (AddAut.addConj g) ↑x- Defined in
- Mathlib.GroupTheory.GroupAction.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- 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
- AddAction.stabilizerstatement and proof · cited by 112
- AddAutstatement · cited by 75
- AddAut.addConjstatement · cited by 34
- AddAction.stabilizerEquivStabilizerstatement · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- AddAction.stabilizerEquivStabilizer_transproof · cited by 0
- AddAction.stabilizerEquivStabilizer_zeroproof · cited by 0