Theorems · Theorem · measure theory
measurableSet_eq_fun
∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} [inst : MeasurableSpace β] [MeasurableEq β] {f g : α → β},
Measurable f → Measurable g → MeasurableSet {x | f x = g x}- Cited by
- 5 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpaceMeasurableEq
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
- Set.ofPredstatement · cited by 6,101
- MeasurableSetstatement · cited by 3,075
- Measurablestatement and proof · cited by 1,499
- Measurable.prodMkproof · cited by 115
- MeasurableSet.preimageproof · cited by 37
- MeasurableEqstatement and proof · cited by 6
- MeasurableEq.measurableSet_diagonalproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Measurable.eqproof · cited by 3
- NumberField.mixedEmbedding.measurableSet_fundamentalConeproof · cited by 1
- ProbabilityTheory.measurableSet_isRatStieltjesPointproof · cited by 1
- MeasureTheory.Measure.ae_eq_compProd_of_ae_eq_fstproof · cited by 1