Theorems · Theorem · measure theory
MeasurableSpace.generateFrom_singleton_le
∀ {α : Type u_1} {m : MeasurableSpace α} {s : Set α}, MeasurableSet s → MeasurableSpace.generateFrom {s} ≤ m- Cited by
- 3 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.
Cites6
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
- MeasurableSetstatement and proof · cited by 3,075
- Set.mem_singleton_iffproof · cited by 172
- MeasurableSpace.generateFromstatement · cited by 172
- MeasurableSpace.generateFrom_leproof · cited by 49
Cited by3
Results whose statement or proof uses this declaration.
- ProbabilityTheory.condExp_generateFrom_singletonproof · cited by 1
- ProbabilityTheory.Kernel.measure_eq_zero_or_one_of_indep_selfproof · cited by 1
- ProbabilityTheory.condExpKernel_singleton_ae_eq_condproof · cited by 0