bilinearCombination_apply — Mathlib

English

The bilinearCombination is the bilinear map that assigns to v and f the sum of f(i)·v(i) over i, i.e. bilinearCombination R S v f = ∑ i f(i) v(i).

Русский

BilinearCombination — билинеарная карта, которая для данных v и f отсекает сумму ∑ i f(i) v(i).

LaTeX

$$$\\mathrm{bilinearCombination}_R^S v(f) = \\sum_i f(i) \\cdot v(i)$$$

Lean4

@[simp]
theorem bilinearCombination_apply : Fintype.bilinearCombination R S v = Fintype.linearCombination R v :=
  rfl

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