Theorems · Theorem · measure theory
MeasureTheory.withDensity_inv_same_le
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {f : α → ENNReal},
AEMeasurable f μ → (μ.withDensity f).withDensity f⁻¹ ≤ μ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- LE.le.transproof · cited by 3,151
- MeasureTheory.aeproof · cited by 2,352
- le_reflproof · cited by 2,061
- Filter.univ_mem'proof · cited by 1,672
- AEMeasurablestatement and proof · cited by 840
- Filter.EventuallyLEproof · cited by 383
- MeasureTheory.Measure.withDensitystatement · cited by 265
- MeasureTheory.withDensity_oneproof · cited by 8
- MeasureTheory.withDensity_mul₀proof · cited by 5
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