Lax Lean Archive

Prime numbers

Lax242665.Primes · concepts/Lax242665/Primes.lean · lax-242665

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    Natural Language Statement

    Definition

    A natural number greater than 1 is prime if it is divisible only by 1 and by itself.

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    Lean source view on GitHub

    1import Mathlib.Data.Nat.Notation
    2
    3/-!
    4---
    5title: Prime numbers
    6type: definition
    7---
    8A natural number greater than 1 is *prime* if it is divisible only by 1 and
    9by itself.
    10-/
    11
    12namespace Lax242665.Primes
    13
    14/-- `n` is prime: it is greater than 1, and every divisor `d` of `n` is
    15`1` or `n` itself. -/
    16def Prime (n : ℕ) : Prop :=
    17 1 < n ∧ ∀ d : ℕ, d ∣ n → d = 1 ∨ d = n
    18
    19end Lax242665.Primes
    20
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