Theorems · Theorem · measure theory
MeasurableSpace.measurableSet_bot_iff
∀ {α : Type u_1} {s : Set α}, MeasurableSet s ↔ s = ∅ ∨ s = Set.univ- Cited by
- 2 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- MeasurableSpacestatement and proof · cited by 13,106
- Bot.botstatement and proof · cited by 4,720
- Set.univstatement and proof · cited by 3,945
- MeasurableSetstatement and proof · cited by 3,075
- IsEmptyproof · cited by 759
- MeasurableSet.univproof · cited by 178
- Set.forall_mem_rangeproof · cited by 135
- bot_uniqueproof · cited by 57
- MeasurableSpace.measurableSet_emptyproof · cited by 5
- Set.sUnion_mem_empty_univproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.indep_bot_rightproof · cited by 5
- eq_const_of_measurable_botproof · cited by 1