Theorems · Theorem · measure theory
MeasureTheory.StronglyMeasurable.measurableSet_lt
∀ {α : Type u_1} {E : Type u_5} {m : MeasurableSpace α} {f g : α → E} [inst : TopologicalSpace E] [inst_1 : Preorder E]
[OrderClosedTopology E] [TopologicalSpace.PseudoMetrizableSpace E],
MeasureTheory.StronglyMeasurable f → MeasureTheory.StronglyMeasurable g → MeasurableSet {a | f a < g a}- Cited by
- 3 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Preorderstatement and proof · cited by 7,952
- Set.ofPredstatement and proof · cited by 6,101
- MeasurableSetstatement and proof · cited by 3,075
- OrderClosedTopologystatement and proof · cited by 445
- MeasureTheory.StronglyMeasurablestatement and proof · cited by 363
- TopologicalSpace.PseudoMetrizableSpacestatement and proof · cited by 245
- MeasurableSet.complproof · cited by 172
- MeasurableSet.interproof · cited by 167
- MeasureTheory.StronglyMeasurable.measurableSet_leproof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.uniformIntegrable_of'proof · cited by 2
- MeasureTheory.unifIntegrable_of'proof · cited by 1
- MeasureTheory.AEStronglyMeasurable.nullMeasurableSet_ltproof · cited by 0