Theorems · Theorem · probability
ProbabilityTheory.IsMeasurableRatCDF.le_one
∀ {α : Type u_1} [inst : MeasurableSpace α] {f : α → ℚ → ℝ},
ProbabilityTheory.IsMeasurableRatCDF f → ∀ (a : α) (q : ℚ), f a q ≤ 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
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.
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- ProbabilityTheory.IsMeasurableRatCDFstatement and proof · cited by 24
- Monotone.ge_of_tendstoproof · cited by 8
- ProbabilityTheory.IsRatStieltjesPoint.monoproof · cited by 6
- ProbabilityTheory.IsRatStieltjesPoint.tendsto_atTop_oneproof · cited by 6
- ProbabilityTheory.IsMeasurableRatCDF.isRatStieltjesPointproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IsMeasurableRatCDF.stieltjesFunction_le_oneproof · cited by 2