Theorems · Theorem · measure theory
MeasureTheory.StronglyMeasurable.measurableSet_eq_fun
∀ {α : Type u_1} {E : Type u_5} {m : MeasurableSpace α} {f g : α → E} [inst : TopologicalSpace E]
[TopologicalSpace.MetrizableSpace E],
MeasureTheory.StronglyMeasurable f → MeasureTheory.StronglyMeasurable g → MeasurableSet {a | f a = g a}- Cited by
- 3 results in Mathlib
- Foundations
- Depth 164 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
- Set.ofPredstatement · cited by 6,101
- MeasurableSetstatement · cited by 3,075
- MeasureTheory.StronglyMeasurablestatement and proof · cited by 363
- MeasureTheory.StronglyMeasurable.measurableproof · cited by 74
- IsClosed.measurableSetproof · cited by 65
- Set.diagonalproof · cited by 42
- TopologicalSpace.MetrizableSpacestatement and proof · cited by 39
- MeasureTheory.StronglyMeasurable.prodMkproof · cited by 11
- isClosed_diagonalproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.StronglyMeasurable.ae_eq_trim_of_stronglyMeasurableproof · cited by 7
- MeasureTheory.AEStronglyMeasurable.nullMeasurableSet_eq_funproof · cited by 3
- MeasureTheory.setIntegral_eq_zero_of_ae_eq_zeroproof · cited by 1