Theorems · Theorem · measure theory
MeasureTheory.condExp_nonpos
∀ {α : Type u_1} {E : Type u_3} {m m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α} {f : α → E}
[inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [CompleteSpace E] [inst_3 : PartialOrder E]
[ClosedIciTopology E] [IsOrderedAddMonoid E] [IsOrderedModule ℝ E], f ≤ᵐ[μ] 0 → μ[f | m] ≤ᵐ[μ] 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 298 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- MeasureTheory.Measurestatement and proof · cited by 10,939
- PartialOrderstatement and proof · cited by 6,410
- CompleteSpacestatement and proof · cited by 2,532
- MeasureTheory.aestatement and proof · cited by 2,352
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- MeasureTheory.Integrableproof · cited by 1,367
- Filter.EventuallyLEstatement and proof · cited by 383
- MeasureTheory.condExpstatement and proof · cited by 234
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