Theorems · Theorem · measure theory
MeasureTheory.measure_sdiff_eq_top
∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s t : Set α}, μ s = ⊤ → μ t ≠ ⊤ → μ (s \ t) = ⊤- Cited by
- 3 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- LE.le.trans_ltproof · cited by 795
- MeasureTheory.measure_monoproof · cited by 338
- Ne.lt_topproof · cited by 161
- MeasureTheory.measure_union_leproof · cited by 43
- ENNReal.add_lt_topproof · cited by 27
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.measureReal_sdiff_nullproof · cited by 1
- MeasureTheory.measure_symmDiff_eq_topproof · cited by 1
- MeasureTheory.measure_diff_eq_topproof · cited by 0