Theorems · Theorem · group theory
AddAction.mem_stabilizer_finset
∀ {G : Type u_1} {α : Type u_3} [inst : AddGroup G] [inst_1 : AddAction G α] {a : G} [inst_2 : DecidableEq α]
{s : Finset α}, a ∈ AddAction.stabilizer G s ↔ ∀ (b : α), a +ᵥ b ∈ s ↔ b ∈ s- Defined in
- Mathlib.Algebra.Pointwise.Stabilizer
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroupAddActionDecidableEq
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddActionstatement and proof · cited by 820
- AddAction.stabilizerstatement · cited by 112
- Finset.mem_coeproof · cited by 91
- Finset.addActionFinsetstatement · cited by 10
- AddAction.mem_stabilizer_setproof · cited by 5
- AddAction.stabilizer_coe_finsetproof · cited by 4
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