Theorems · Theorem · measure theory
StieltjesFunction.length_empty
∀ {R : Type u_1} [inst : LinearOrder R] [inst_1 : TopologicalSpace R] (f : StieltjesFunction R), f.length ∅ = 0- Defined in
- Mathlib.MeasureTheory.Measure.Stieltjes
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 128 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrderTopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- ENNRealstatement and proof · cited by 9,879
- LinearOrderstatement and proof · cited by 8,572
- sub_selfproof · cited by 996
- ENNReal.ofRealproof · cited by 863
- IsEmptyproof · cited by 759
- isEmpty_or_nonemptyproof · cited by 269
- iInf_congr_Propproof · cited by 218
- StieltjesFunction.toFunproof · cited by 120
- nonpos_iff_eq_zeroproof · cited by 100
- StieltjesFunctionstatement and proof · cited by 85
Cited by4
Results whose statement or proof uses this declaration.
- StieltjesFunction.outerproof · cited by 6
- StieltjesFunction.measure_singletonproof · cited by 6
- StieltjesFunction.measurableSet_Ioiproof · cited by 1
- StieltjesFunction.outer_trimproof · cited by 0