Theorems · Theorem · group theory
AddAction.stabilizer_union_eq_right
∀ {G : Type u_1} {α : Type u_3} [inst : AddGroup G] [inst_1 : AddAction G α] {s t : Set α},
Disjoint s t →
AddAction.stabilizer G t ≤ AddAction.stabilizer G s →
AddAction.stabilizer G (s ∪ t) ≤ AddAction.stabilizer G s →
AddAction.stabilizer G (s ∪ t) = AddAction.stabilizer G t- Defined in
- Mathlib.Algebra.Pointwise.Stabilizer
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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 and proof · cited by 3,232
- Disjointstatement and proof · cited by 2,201
- AddActionstatement and proof · cited by 820
- Disjoint.symmproof · cited by 125
- AddAction.stabilizerstatement and proof · cited by 112
- Set.union_commproof · cited by 99
- Set.addActionSetstatement · cited by 39
- AddAction.stabilizer_union_eq_leftproof · cited by 1
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