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Theorems · Theorem · order theory

Set.nonempty_finiteExhaustion_iff

∀ {α : Type u_1} {s : Set α}, Nonempty s.FiniteExhaustion ↔ s.Countable
Defined in
Mathlib.Data.Set.FiniteExhaustion
Cited by
1 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Set.FiniteExhaustion.Set.nonempty_finiteExhaustion_iff · cited by 0Set.nonempty_finiteExhaus…Set · cited by 53352SetSet.Countable · cited by 545Set.CountableSet.Finite.countable · cited by 30Finite.countableSet.countable_iUnion · cited by 22Set.countable_iUnionSet.FiniteExhaustion · cited by 14Set.FiniteExhaustionSet.FiniteExhaustion.finite · cited by 1FiniteExhaustion.finiteSet.FiniteExhaustion.iUnion_eq · cited by 1FiniteExhaustion.iUnion_eqSet.Countable.finiteExhaustion · cited by 1Countable.finiteExhaustionSet.nonempty_finiteExhaustion…CITED BYCITES

Cites8

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Cited by1

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