NullMeasurable
π Source: Mathlib/MeasureTheory/Measure/NullMeasurable.lean
Statistics
Finset
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
nullMeasurableSet π | mathematical | β | MeasureTheory.NullMeasurableSetSetLike.coeFinsetinstSetLike | β | measurableSet |
nullMeasurableSet_biInter π | mathematical | MeasureTheory.NullMeasurableSet | Set.iInterFinsetinstMembership | β | Set.Finite.nullMeasurableSet_biInterfinite_toSet |
nullMeasurableSet_biUnion π | mathematical | MeasureTheory.NullMeasurableSet | Set.iUnionFinsetinstMembership | β | measurableSet_biUnion |
Measurable
Theorems
MeasurableSet
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
nullMeasurableSet π | mathematical | MeasurableSet | MeasureTheory.NullMeasurableSet | β | eventuallyMeasurableSetMeasureTheory.Measure.instOuterMeasureClass |
MeasureTheory
Definitions
Theorems
MeasureTheory.Measurable
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
comp_nullMeasurable π | β | MeasurableMeasureTheory.NullMeasurable | β | β | Measurable.comp_eventuallyMeasurableMeasureTheory.Measure.instOuterMeasureClass |
MeasureTheory.Measure
Definitions
| Name | Category | Theorems |
|---|---|---|
IsComplete π | CompData | |
completion π | CompOp |
Theorems
MeasureTheory.Measure.IsComplete
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
out π | mathematical | DFunLike.coeMeasureTheory.MeasureSetENNRealMeasureTheory.Measure.instFunLikeinstZeroENNReal | MeasurableSet | β | out' |
out' π | mathematical | DFunLike.coeMeasureTheory.MeasureSetENNRealMeasureTheory.Measure.instFunLikeinstZeroENNReal | MeasurableSet | β | β |
MeasureTheory.Measure.completion
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
isComplete π | mathematical | β | MeasureTheory.Measure.IsCompleteMeasureTheory.NullMeasurableSpaceMeasureTheory.NullMeasurableSpace.instMeasurableSpaceMeasureTheory.Measure.completion | β | MeasureTheory.NullMeasurableSet.of_null |
MeasureTheory.NullMeasurable
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
measurable' π | mathematical | MeasureTheory.NullMeasurable | MeasurableMeasureTheory.NullMeasurableSpaceMeasureTheory.NullMeasurableSpace.instMeasurableSpace | β | β |
measurable_of_complete π | mathematical | MeasureTheory.NullMeasurable | Measurable | β | MeasureTheory.NullMeasurableSet.measurable_of_complete |
MeasureTheory.NullMeasurableSet
Theorems
MeasureTheory.NullMeasurableSpace
Definitions
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
instSubsingleton π | mathematical | β | MeasureTheory.NullMeasurableSpace | β | β |
Set.Finite
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
nullMeasurableSet π | mathematical | β | MeasureTheory.NullMeasurableSet | β | measurableSet |
nullMeasurableSet_biInter π | mathematical | MeasureTheory.NullMeasurableSet | Set.iInterSetSet.instMembership | β | measurableSet_biInter |
nullMeasurableSet_biUnion π | mathematical | MeasureTheory.NullMeasurableSet | Set.iUnionSetSet.instMembership | β | measurableSet_biUnion |
nullMeasurableSet_sInter π | mathematical | MeasureTheory.NullMeasurableSet | Set.sInter | β | MeasureTheory.NullMeasurableSet.sIntercountable |
nullMeasurableSet_sUnion π | mathematical | MeasureTheory.NullMeasurableSet | Set.sUnion | β | measurableSet_sUnion |
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