Theorems · Definition · logic and foundations
Set.enumerateCountable
{α : Type u} → {s : Set α} → s.Countable → α → ℕ → αNoncomputably enumerate elements in a set. The default value is used to extend the domain to
all of ℕ.
- Defined in
- Mathlib.Data.Set.Countable
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Set.Elemproof · cited by 7,166
- Set.Countablestatement and proof · cited by 545
- Encodable.decodeproof · cited by 77
Cited by18
Results whose statement or proof uses this declaration.
- MeasurableSpace.countablePartitionSetproof · cited by 24
- MeasurableSpace.countablePartitionproof · cited by 20
- MeasurableSpace.natGeneratingSequenceproof · cited by 11
- MeasurableSpace.countablePartitionSet_memproof · cited by 4
- Set.countable_iff_exists_subset_rangeproof · cited by 3
- Set.range_enumerateCountable_of_memstatement · cited by 3
- MeasurableSpace.measurableSet_enumerateCountable_countableGeneratingSetstatement · cited by 2
- MeasurableSpace.disjoint_countablePartitionproof · cited by 2
- Set.enumerateCountable_memstatement and proof · cited by 2
- Set.subset_range_enumeratestatement · cited by 2
- MeasurableSpace.generateFrom_iUnion_countablePartitionproof · cited by 1
- MeasurableSpace.measurableSet_generateFrom_countablePartition_iffproof · cited by 1