uncurry_natural_left — Mathlib

English

Naturality of uncurry with respect to left naturality: uncurry (f ≫ ×) = × ≫ uncurry g.

Русский

Естественность развёртывания слева: uncurry (f ≫ g) = whiskerLeft × ⋯ uncurry g.

LaTeX

$$$\mathrm{uncurry} (f ≫ g) = _ ◁ f ≫ \mathrm{uncurry} g$$$

Lean4

@[reassoc]
theorem uncurry_natural_left (f : X ⟶ X') (g : X' ⟶ A ⟹ Y) : uncurry (f ≫ g) = _ ◁ f ≫ uncurry g :=
  Adjunction.homEquiv_naturality_left_symm _ _ _

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