Theorems · Theorem · measure theory
StieltjesFunction.id_leftLim
∀ (x : ℝ), Function.leftLim (↑StieltjesFunction.id) x = x
- Defined in
- Mathlib.MeasureTheory.Measure.Stieltjes
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 153 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.
- Realstatement and proof · cited by 25,697
- StieltjesFunction.toFunstatement · cited by 120
- Function.leftLimstatement · cited by 60
- continuousWithinAt_idproof · cited by 10
- StieltjesFunction.idstatement · cited by 8
- ContinuousWithinAt.leftLim_eqproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- Real.volume_Iccproof · cited by 18
- Real.volume_Iooproof · cited by 17
- Real.volume_Icoproof · cited by 6
- Real.volume_eq_stieltjes_idproof · cited by 1