Theorems · Theorem · measure theory
MeasureTheory.AEStronglyMeasurable.nullMeasurableSet_lt
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace β] {m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α}
[inst_1 : Preorder β] [OrderClosedTopology β] [TopologicalSpace.PseudoMetrizableSpace β] {f g : α → β},
MeasureTheory.AEStronglyMeasurable f μ →
MeasureTheory.AEStronglyMeasurable g μ → MeasureTheory.NullMeasurableSet {a | f a < g a} μ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Preorderstatement and proof · cited by 7,952
- Set.ofPredstatement · cited by 6,101
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- OrderClosedTopologystatement and proof · cited by 445
- MeasureTheory.NullMeasurableSetstatement · cited by 337
- TopologicalSpace.PseudoMetrizableSpacestatement and proof · cited by 245
- MeasurableSet.nullMeasurableSetproof · cited by 155
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