Theorems · Theorem · measure theory
MeasurableSet.compl_iff
∀ {α : Type u_1} {s : Set α} {m : MeasurableSpace α}, MeasurableSet sᶜ ↔ MeasurableSet s- Cited by
- 7 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasurableSetstatement · cited by 3,075
- Compl.complstatement · cited by 2,925
- MeasurableSet.complproof · cited by 172
- MeasurableSet.of_complproof · cited by 11
Cited by7
Results whose statement or proof uses this declaration.
- measurable_of_isClosedproof · cited by 4
- BoxIntegral.integrable_of_continuousOnproof · cited by 3
- MeasureTheory.NullMeasurableSet.compl_iffproof · cited by 1
- MeasurableSet.iInter_of_antitoneproof · cited by 1
- MeasureTheory.dirac_ne_dirac_iff_exists_measurableSetproof · cited by 1
- MeasureTheory.dirac_eq_zero_iff_not_memproof · cited by 0
- MeasurableSet.iInter_of_antitone_of_frequentlyproof · cited by 0