Theorems · Theorem · probability
MeasureTheory.pdf.uniformPDF_ite
∀ {E : Type u_1} [inst : MeasurableSpace E] {μ : MeasureTheory.Measure E} {s : Set E} {x : E},
MeasureTheory.pdf.uniformPDF s x μ = if x ∈ s then (μ s)⁻¹ else 0Alternative way of writing the uniformPDF.
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- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
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- 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
- mul_oneproof · cited by 3,885
- MeasureTheory.pdf.uniformPDFstatement · cited by 2
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