Theorems · Theorem · measure theory
measurableSet_support
∀ {α : Type u_1} {β : Type u_2} {f : α → β} {m : MeasurableSpace α} {mβ : MeasurableSpace β} [inst : Zero β]
[MeasurableSingletonClass β], Measurable f → MeasurableSet (Function.support f)- Cited by
- 5 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- ZeroMeasurableSingletonClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasurableSetstatement · cited by 3,075
- Compl.complproof · cited by 2,925
- Measurablestatement and proof · cited by 1,499
- Function.supportstatement · cited by 610
- MeasurableSingletonClassstatement and proof · cited by 230
- MeasurableSet.complproof · cited by 172
- MeasurableSingletonClass.measurableSet_singletonproof · cited by 53
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.memLp_add_of_disjointproof · cited by 3
- MeasureTheory.StronglyMeasurable.measurableSet_supportproof · cited by 2
- MeasureTheory.exists_setLIntegral_compl_ltproof · cited by 1
- MeasureTheory.completeSpace_of_completeSpace_Lpproof · cited by 1
- MeasureTheory.setLIntegral_pos_iffproof · cited by 0