coe_stepBound — Mathlib

English

Distance in the box product decomposes additively across factors: edist(G □ H)(x,y) = edist(G)(x1,y1) + edist(H)(x2,y2).

Русский

Расстояние в box-продукте возрастает по составу: edist(G □ H)(x,y) = edist(G)(x1,y1) + edist(H)(x2,y2).

LaTeX

$$$\\mathrm{edist}_{G\\square H}(x,y) = \\mathrm{edist}_G(x_1,y_1) + \\mathrm{edist}_H(x_2,y_2)$$$

Lean4

@[norm_cast]
theorem coe_stepBound {α : Type*} [Semiring α] (n : ℕ) : (stepBound n : α) = n * 4 ^ n := by unfold stepBound; norm_cast

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