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Theorems · Theorem · logic and foundations

Set.subset_range_enumerate

∀ {α : Type u} {s : Set α} (h : s.Countable) (default : α), s ⊆ Set.range (Set.enumerateCountable h default)
Defined in
Mathlib.Data.Set.Countable
Cited by
2 results in Mathlib
Foundations
Depth 23 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.countable_iff_exists_subset_range · cited by 3Set.countable_iff_exists_…Set.range_enumerateCountable_of_mem · cited by 3Set.range_enumerateCounta…Set · cited by 53352SetSet.Elem · cited by 7166Set.ElemSet.range · cited by 4705Set.rangeSet.Countable · cited by 545Set.CountableEncodable.encode · cited by 118Encodable.encodeEncodable.encodek · cited by 27Encodable.encodekSet.enumerateCountable · cited by 15Set.enumerateCountableSet.subset_range_enumerateCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.