Theorems · Theorem · measure theory
MeasureTheory.measure_sdiff_lt_of_lt_add
∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s t : Set α},
MeasureTheory.NullMeasurableSet s μ → s ⊆ t → μ s ≠ ⊤ → ∀ {ε : ENNReal}, μ t < μ s + ε → μ (t \ s) < ε- Cited by
- 8 results in Mathlib
- Foundations
- Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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 and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- add_commproof · cited by 1,535
- MeasureTheory.measure_monoproof · cited by 338
- MeasureTheory.NullMeasurableSetstatement and proof · cited by 337
- MeasureTheory.measure_sdiffproof · cited by 20
- ENNReal.sub_lt_of_lt_addproof · cited by 6
Cited by8
Results whose statement or proof uses this declaration.
- MeasurableSet.exists_isCompact_isClosed_sdiff_ltproof · cited by 5
- MeasurableSet.exists_isOpen_sdiff_ltproof · cited by 4
- MeasurableSet.exists_isClosed_sdiff_ltproof · cited by 3
- MeasureTheory.eventually_nhds_one_measure_smul_sdiff_ltproof · cited by 3
- MeasureTheory.eventually_nhds_zero_measure_vadd_sdiff_ltproof · cited by 2
- MeasurableSet.exists_isOpen_symmDiff_ltproof · cited by 1
- MeasurableSet.exists_isCompact_sdiff_ltproof · cited by 1
- MeasureTheory.measure_diff_lt_of_lt_addproof · cited by 0