Theorems · Theorem · logic and foundations
Set.range_enumerateCountable_of_mem
∀ {α : Type u} {s : Set α} (h : s.Countable) {default : α},
default ∈ s → Set.range (Set.enumerateCountable h default) = s- Defined in
- Mathlib.Data.Set.Countable
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.rangestatement · cited by 4,705
- Set.Countablestatement and proof · cited by 545
- LE.le.trans_eqproof · cited by 328
- subset_antisymmproof · cited by 150
- Set.insert_eq_of_memproof · cited by 118
- Set.enumerateCountablestatement · cited by 15
- Set.subset_range_enumerateproof · cited by 2
- Set.range_enumerateCountable_subsetproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- MeasurableSpace.generateFrom_natGeneratingSequenceproof · cited by 3
- Set.enumerateCountable_memproof · cited by 2
- MeasurableSpace.generateFrom_iUnion_countablePartitionproof · cited by 1