currySum_uncurrySum — Mathlib

English

Scalar multiplication commutes with uncurrySum: uncurrySum (r • g) = r • uncurrySum g.

Русский

Скалярное умножение commuting с uncurrySum: uncurrySum (r • g) = r • uncurrySum g.

LaTeX

$$$\\text{uncurrySum}(r \\cdot g) = r \\cdot \\text{uncurrySum}(g)$$$

Lean4

@[simp]
theorem currySum_uncurrySum
    (g : MultilinearMap R (fun i : ι ↦ N (.inl i)) (MultilinearMap R (fun i : ι' ↦ N (.inr i)) M₂)) :
    currySum (uncurrySum g) = g :=
  rfl

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