Theorems · Theorem · measure theory
StieltjesFunction.iInf_rat_gt_eq
∀ (f : StieltjesFunction ℝ) (x : ℝ), ⨅ r, ↑f ↑↑r = ↑f x
- Defined in
- Mathlib.MeasureTheory.Measure.Stieltjes
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Set.imageproof · cited by 5,609
- iInfstatement and proof · cited by 1,690
- Set.Ioiproof · cited by 1,463
- le_of_ltproof · cited by 1,175
- StieltjesFunction.toFunstatement and proof · cited by 120
- StieltjesFunctionstatement and proof · cited by 85
- StieltjesFunction.monoproof · cited by 23
- Real.iInf_Ioi_eq_iInf_rat_gtproof · cited by 2
- StieltjesFunction.iInf_Ioi_eqproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IsMeasurableRatCDF.measurable_stieltjesFunctionproof · cited by 3
- ProbabilityTheory.IsMeasurableRatCDF.stieltjesFunction_le_oneproof · cited by 2