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Theorems · Theorem · order theory

Set.FiniteExhaustion.Set.nonempty_finiteExhaustion_iff

Deprecated since 2026-05-24Use Set.nonempty_finiteExhaustion_iff instead.

∀ {α : Type u_1} {s : Set α}, Nonempty s.FiniteExhaustion ↔ s.Countable

Alias of Set.nonempty_finiteExhaustion_iff.

Defined in
Mathlib.Data.Set.FiniteExhaustion
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Foundations
Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
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Set · cited by 53352SetSet.Countable · cited by 545Set.CountableSet.FiniteExhaustion · cited by 14Set.FiniteExhaustionSet.nonempty_finiteExhaustion_iff · cited by 1Set.nonempty_finiteExhaus…Set.nonempty_finiteExhaustion…CITED BYCITES

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