Theorems · Theorem · group theory
AddAction.mem_stabilizer_iff
∀ {G : Type u_1} {α : Type u_2} [inst : AddGroup G] [inst_1 : AddAction G α] {a : α} {g : G},
g ∈ AddAction.stabilizer G a ↔ g +ᵥ a = a- Defined in
- Mathlib.GroupTheory.GroupAction.Defs
- Cited by
- 27 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- HVAdd.hVAddstatement · cited by 1,820
- AddActionstatement and proof · cited by 820
- AddAction.stabilizerstatement · cited by 112
Cited by27
Results whose statement or proof uses this declaration.
- AddAction.mem_stabilizer_setproof · cited by 5
- AddAction.stabilizer_coe_finsetproof · cited by 4
- AddAction.stabilizer_inf_stabilizer_le_stabilizer_apply₂proof · cited by 3
- AddAction.mem_stabilizer_finset_iff_subset_vadd_finsetproof · cited by 2
- SubAddAction.ofStabilizer.isMultiplyPretransitiveproof · cited by 2
- AddAction.stabilizer_add_selfproof · cited by 2
- AddAction.le_stabilizer_vadd_leftproof · cited by 1
- AddAction.le_stabilizer_vadd_rightproof · cited by 1
- AddAction.stabilizer_vadd_eq_leftproof · cited by 1
- AddAction.IsBlock.of_subsetproof · cited by 1
- AddAction.stabilizer_vadd_eq_stabilizer_map_addConjproof · cited by 1
- AddAction.mem_stabilizer_finset_iff_vadd_finset_subsetproof · cited by 1