Theorems · Theorem · measure theory
MeasureTheory.NullMeasurableSet.compl
∀ {α : Type u_2} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s : Set α},
MeasureTheory.NullMeasurableSet s μ → MeasureTheory.NullMeasurableSet sᶜ μ- Cited by
- 16 results in Mathlib
- Foundations
- Depth 174 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
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Compl.complstatement · cited by 2,925
- MeasureTheory.NullMeasurableSetstatement and proof · cited by 337
- MeasurableSet.complproof · cited by 172
Cited by16
Results whose statement or proof uses this declaration.
- MeasureTheory.ae_restrict_iff₀proof · cited by 5
- MeasureTheory.integral_add_compl₀proof · cited by 4
- indicator_indepFun_pi_of_prod_bcfproof · cited by 4
- MeasureTheory.average_mem_openSegment_compl_selfproof · cited by 4
- MeasureTheory.NullMeasurableSet.compl_toMeasurable_compl_ae_eqproof · cited by 1
- MeasureTheory.MeasurePreserving.aeconst_compproof · cited by 1
- MeasureTheory.ae_withDensity_iff_ae_restrict'proof · cited by 1
- MeasureTheory.integral_norm_eq_pos_sub_negproof · cited by 1
- MeasureTheory.Conservative.measure_mem_forall_ge_image_notMem_eq_zeroproof · cited by 1
- nullMeasurableSet_region_between_ccproof · cited by 0
- nullMeasurableSet_region_between_coproof · cited by 0
- nullMeasurableSet_region_between_ocproof · cited by 0