Theorems · Theorem · measure theory
MeasureTheory.measure_ne_top_of_subset
∀ {α : Type u_1} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} {s t : Set α}, t ⊆ s → μ s ≠ ⊤ → μ t ≠ ⊤- Cited by
- 15 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
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.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- LT.lt.neproof · cited by 872
- MeasureTheory.measure_lt_top_of_subsetproof · cited by 3
Cited by15
Results whose statement or proof uses this declaration.
- MeasureTheory.measureReal_union_leproof · cited by 4
- MeasureTheory.measureReal_sdiffproof · cited by 4
- MeasureTheory.measure_inter_ne_top_of_right_ne_topproof · cited by 3
- MeasureTheory.measureReal_inter_add_sdiffproof · cited by 2
- MeasureTheory.measureReal_inter_add_sdiff₀proof · cited by 2
- MeasureTheory.measureReal_add_sdiffproof · cited by 2
- VitaliFamily.measure_limRatioMeas_topproof · cited by 2
- exists_eq_interval_average_of_nullSingletonClassproof · cited by 2
- MeasureTheory.measureReal_sdiff_null'proof · cited by 2
- VitaliFamily.null_of_frequently_le_of_frequently_geproof · cited by 1
- MeasureTheory.measure_inter_ne_top_of_left_ne_topproof · cited by 1
- VitaliFamily.measure_limRatioMeas_zeroproof · cited by 1