Theorems · Theorem · group theory
MulAction.stabilizer_inf_stabilizer_le_stabilizer_sdiff
∀ {G : Type u_1} {α : Type u_3} [inst : Group G] [inst_1 : MulAction G α] {s t : Set α},
MulAction.stabilizer G s ⊓ MulAction.stabilizer G t ≤ MulAction.stabilizer G (s \ t)- Defined in
- Mathlib.Algebra.Pointwise.Stabilizer
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- MulActionstatement and proof · cited by 1,294
- MulAction.stabilizerstatement · cited by 254
- Set.mulActionSetstatement · cited by 95
- Set.smul_set_sdiffproof · cited by 5
- MulAction.stabilizer_inf_stabilizer_le_stabilizer_apply₂proof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- MulAction.stabilizer_union_eq_leftproof · cited by 1