Mathlib Map

Theorems · Theorem · logic and foundations

Set.countable_union

∀ {α : Type u} {s t : Set α}, (s ∪ t).Countable ↔ s.Countable ∧ t.Countable
Defined in
Mathlib.Data.Set.Countable
Cited by
2 results in Mathlib
Foundations
Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Set.Countable.union · cited by 16Countable.unionMeasureTheory.isSeparable_of_sigmaFinite · cited by 0MeasureTheory.isSeparable…Set · cited by 53352SetSet.Countable · cited by 545Set.CountableSet.union_eq_iUnion · cited by 28Set.union_eq_iUnionSet.countable_unionCITED BYCITES

Cites3

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.