Theorems · Theorem · group theory
AddAction.stabilizer_inf_stabilizer_le_stabilizer_union
∀ {G : Type u_1} {α : Type u_3} [inst : AddGroup G] [inst_1 : AddAction G α] {s t : Set α},
AddAction.stabilizer G s ⊓ AddAction.stabilizer G t ≤ AddAction.stabilizer G (s ∪ t)- Defined in
- Mathlib.Algebra.Pointwise.Stabilizer
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 25 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
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddActionstatement and proof · cited by 820
- AddAction.stabilizerstatement · cited by 112
- Set.addActionSetstatement · cited by 39
- AddAction.stabilizer_inf_stabilizer_le_stabilizer_apply₂proof · cited by 3
- Set.vadd_set_unionproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AddAction.stabilizer_union_eq_leftproof · cited by 1