Theorems · Theorem · logic and foundations
Set.enumerateCountable_mem
∀ {α : Type u} {s : Set α} (h : s.Countable) {default : α},
default ∈ s → ∀ (n : ℕ), Set.enumerateCountable h default n ∈ s- Defined in
- Mathlib.Data.Set.Countable
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.rangeproof · cited by 4,705
- Set.Countablestatement and proof · cited by 545
- Set.mem_range_selfproof · cited by 328
- Set.enumerateCountablestatement and proof · cited by 15
- Set.range_enumerateCountable_of_memproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- MeasurableSpace.measurableSet_natGeneratingSequenceproof · cited by 3
- MeasurableSpace.measurableSet_enumerateCountable_countableGeneratingSetproof · cited by 2