Mathlib Map

Theorems · Definition · measure theory

botSet

{R : Type u_1} → [LinearOrder R] → Set R

botSet is the set of all bottom elements.

Defined in
Mathlib.MeasureTheory.Measure.Stieltjes
Cited by
16 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext
Assumes
LinearOrder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

StieltjesFunction.length · cited by 12StieltjesFunction.lengthStieltjesFunction.length_eq · cited by 7StieltjesFunction.length_…StieltjesFunction.length_empty · cited by 3StieltjesFunction.length_…StieltjesFunction.length_sdiff_botSet · cited by 3StieltjesFunction.length_…subsingleton_botSet · cited by 3subsingleton_botSetStieltjesFunction.length_Ioc · cited by 2StieltjesFunction.length_…Ioc_sdiff_botSet · cited by 2Ioc_sdiff_botSetbotSet_eq_singleton_of_isBot · cited by 2botSet_eq_singleton_of_is…StieltjesFunction.outer_Ioc · cited by 2StieltjesFunction.outer_I…StieltjesFunction.length_mono · cited by 1StieltjesFunction.length_…StieltjesFunction.measurableSet_Ioi · cited by 1StieltjesFunction.measura…notMem_botSet_of_lt · cited by 1notMem_botSet_of_ltmeasurableSet_botSet · cited by 1measurableSet_botSetIoc_diff_botSet · cited by 0Ioc_diff_botSetStieltjesFunction.length_diff_botSet · cited by 0StieltjesFunction.length_…Set · cited by 53352SetLinearOrder · cited by 8572LinearOrderSet.ofPred · cited by 6101Set.ofPredIsBot · cited by 77IsBotbotSetCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by17

Results whose statement or proof uses this declaration.