Theorems · Theorem · measure theory
MeasureTheory.measurableSet_generateFrom_singleton_iff
∀ {α : Type u_1} {s t : Set α}, MeasurableSet t ↔ t = ∅ ∨ t = s ∨ t = sᶜ ∨ t = Set.univ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.ofPredproof · cited by 6,101
- Set.preimageproof · cited by 4,946
- Set.univstatement and proof · cited by 3,945
- MeasurableSetstatement and proof · cited by 3,075
- Compl.complstatement and proof · cited by 2,925
- Fintype.elemsproof · cited by 194
- Fintype.completeproof · cited by 192
- MeasurableSpace.generateFromstatement · cited by 172
- Set.preimage_singleton_trueproof · cited by 5
- MeasurableSpace.generateFrom_singletonproof · cited by 4
- Set.preimage_singleton_falseproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.condExp_generateFrom_singletonproof · cited by 1