Theorems · Theorem · group theory
Finite.of_finite_mulAction_orbitRel_quotient
∀ (G : Type u_1) (α : Type u_2) [inst : Group G] [inst_1 : MulAction G α] [Finite G] [Finite (MulAction.orbitRel.Quotient G α)], Finite α
- Defined in
- Mathlib.GroupTheory.GroupAction.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Elemproof · cited by 7,166
- Groupstatement and proof · cited by 6,238
- Finitestatement and proof · cited by 3,029
- MulActionstatement and proof · cited by 1,294
- Quotient.inductionOn'proof · cited by 69
- MulAction.orbitRel.Quotientstatement and proof · cited by 28
- Equiv.finite_iffproof · cited by 21
- MulAction.orbitRel.Quotient.orbitproof · cited by 15
- Finite.finite_mulAction_orbitproof · cited by 1
- MulAction.selfEquivSigmaOrbits'proof · cited by 1
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