unaryCast — Mathlib

English

The numeral map unaryCast: ℕ → R is defined by unaryCast(0) = 0 and unaryCast(n+1) = unaryCast(n) + 1.

Русский

Числовая карта unaryCast: ℕ → R задаётся через unaryCast(0)=0 и unaryCast(n+1)=unaryCast(n)+1.

LaTeX

$$$$ \text{unaryCast}(0) = 0, \quad \text{unaryCast}(n+1) = \text{unaryCast}(n) + 1. $$$$

Lean4

/-- The numeral `((0+1)+⋯)+1`. -/
protected def unaryCast [One R] [Zero R] [Add R] : ℕ → R
  | 0 => 0
  | n + 1 => Nat.unaryCast n + 1

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