Theorems · Theorem · measure theory
MeasureTheory.measure_union_lt_top
∀ {α : Type u_1} [inst : 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
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- LE.le.trans_ltproof · cited by 795
- 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.measure_union_ne_topproof · cited by 4
- MeasureTheory.measure_union_lt_top_iffproof · cited by 2
- MeasureTheory.measureReal_le_measureReal_union_leftproof · cited by 1