Theorems · Theorem · group theory
AddAction.stabilizer_finite
∀ {G : Type u_1} [inst : AddGroup G] {s : Set G}, s.Nonempty → s.Finite → (↑(AddAction.stabilizer G s)).Finite- Defined in
- Mathlib.Algebra.Pointwise.Stabilizer
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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Cites12
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 · cited by 8,199
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- Set.Nonemptystatement and proof · cited by 2,627
- Set.Finitestatement and proof · cited by 1,814
- Set.Finite.subsetproof · cited by 285
- AddAction.stabilizerstatement · cited by 112
- Set.finite_singletonproof · cited by 70
- Set.addActionSetstatement · cited by 39
- AddAction.stabilizer_subset_sub_rightproof · cited by 1
- Set.Finite.subproof · cited by 1
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