Theorems · Theorem · logic and foundations
Finset.countable_toSet
∀ {α : Type u} (s : Finset α), (↑s).Countable- Defined in
- Mathlib.Data.Set.Countable
- Cited by
- 32 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement · cited by 8,199
- Set.Countablestatement · cited by 545
- Finset.finite_toSetproof · cited by 210
- Set.Finite.countableproof · cited by 30
Cited by32
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_biUnion_finset_leproof · cited by 10
- ProbabilityTheory.Kernel.iIndepFun.congr'proof · cited by 7
- Directed.measure_iUnionproof · cited by 5
- ProbabilityTheory.Kernel.IndepFun.process_indepFunproof · cited by 4
- MeasureTheory.measure_biUnion_finset₀proof · cited by 4
- MonovaryOn.sum_smul_sum_le_card_smul_sumproof · cited by 4
- MeasureTheory.generateFrom_squareCylindersproof · cited by 3
- MeasureTheory.VectorMeasure.of_biUnion_finsetproof · cited by 3
- ProbabilityTheory.iCondIndepSets_iffproof · cited by 2
- ProbabilityTheory.Kernel.iIndepFun.process_congrproof · cited by 2
- measurableSet_generateFrom_of_mem_supClosureproof · cited by 2
- MeasureTheory.setIntegral_finsetproof · cited by 2