Theorems · Theorem · group theory
AddAction.stabilizer_subset_sub_right
∀ {G : Type u_1} [inst : AddGroup G] {a : G} {s : Set G}, a ∈ s → ↑(AddAction.stabilizer G s) ⊆ s - {a}- Defined in
- Mathlib.Algebra.Pointwise.Stabilizer
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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.
- Setstatement and proof · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- add_sub_cancel_rightproof · cited by 187
- Set.mem_singletonproof · cited by 183
- Set.substatement · cited by 136
- AddAction.stabilizerstatement and proof · cited by 112
- vadd_eq_addproof · cited by 39
- Set.addActionSetstatement · cited by 39
- AddAction.mem_stabilizer_setproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- AddAction.stabilizer_finiteproof · cited by 0