instIsAddHaarMeasureProdRealVolume

English

The derivative equality for descPochhammer eval is the sum over erase-i products as in the standard derivative formula.

Русский

Производная по x выражения descPochhammer равна сумме по i от произведений без i-го слагаемого.

LaTeX

$$$$ \frac{d}{dx} \big( \mathrm{Polynomial.eval}(x, \mathrm{descPochhammer}(\mathbb{K}, n)) \big) \\= \sum_{i \in \mathrm{Finset.range}(n)} \prod_{j \in (\mathrm{Finset.range}(n)).erase i} (x - j). $$$$

Lean4

/-- This instance is required to see through the defeq `volume = volume.prod volume`. -/
instance : Measure.IsAddHaarMeasure volume (G := ℝ × ℝ) :=
  Measure.prod.instIsAddHaarMeasure _ _

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