Theorems · Theorem · measure theory
MeasurableSet.sep_infinite
∀ {α : Type u_1} [Countable α] {S : Set (Set α)}, MeasurableSet S → MeasurableSet {s | s ∈ S ∧ s.Infinite}- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Countable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.ofPredstatement · cited by 6,101
- MeasurableSetstatement and proof · cited by 3,075
- Countablestatement and proof · cited by 633
- Set.Infinitestatement · cited by 263
- MeasurableSet.interproof · cited by 167
- MeasurableSet.setOfPred_infiniteproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.