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* Add `MeasureTheory.set_lintegral_eq_subtype` and `MeasureTheory.set_lintegral_subtype`. * Add `MeasurableEmbedding.comap_map`, `MeasurableEmbedding.comap_restrict`, and `MeasurableEmbedding.restrict_comap`. * Drop measurability assumption in `MeasurableEmbedding.comap_preimage`. * Remove some empty lines.
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RemyDegenne
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Oct 17, 2023
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| theorem set_lintegral_eq_subtype {s : Set α} (hs : MeasurableSet s) (f : α → ℝ≥0∞) : | ||
| ∫⁻ x in s, f x ∂μ = ∫⁻ x : s, f x ∂(μ.comap (↑)) := by | ||
| rw [← (MeasurableEmbedding.subtype_coe hs).lintegral_map, map_comap_subtype_coe hs] |
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Should this equality be reversed? The right hand side looks more complicated. I would even be tempted to add a @[simp] attribute to have it simplify to the left hand side (and add simp to the next lemma as well). What do you think?
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It matches pre-existing set_integral_eq_subtype. I'll see where the latter is used and swap sides there too.
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…7679) * Add `MeasureTheory.set_lintegral_eq_subtype` and `MeasureTheory.set_lintegral_subtype`. * Add `MeasurableEmbedding.comap_map`, `MeasurableEmbedding.comap_restrict`, and `MeasurableEmbedding.restrict_comap`. * Drop measurability assumption in `MeasurableEmbedding.comap_preimage`. * Remove some empty lines.
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set_lintegral_subtypeset_lintegral_subtype
grunweg
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…7679) * Add `MeasureTheory.set_lintegral_eq_subtype` and `MeasureTheory.set_lintegral_subtype`. * Add `MeasurableEmbedding.comap_map`, `MeasurableEmbedding.comap_restrict`, and `MeasurableEmbedding.restrict_comap`. * Drop measurability assumption in `MeasurableEmbedding.comap_preimage`. * Remove some empty lines.
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MeasureTheory.set_lintegral_eq_subtypeandMeasureTheory.set_lintegral_subtype.MeasurableEmbedding.comap_map,MeasurableEmbedding.comap_restrict, andMeasurableEmbedding.restrict_comap.MeasurableEmbedding.comap_preimage.