Function lambda_calculus::data::num::church::is_even

source ·
pub fn is_even() -> Term
Expand description

Applied to a Church-encoded number it produces a lambda-encoded boolean, indicating whether its argument is even.

IS_EVEN ≡ λx.x NOT TRUE ≡ λ 1 NOT TRUE

§Example

use lambda_calculus::data::num::church::is_even;
use lambda_calculus::*;

assert_eq!(beta(app(is_even(), 0.into_church()), NOR, 0), true.into());
assert_eq!(beta(app(is_even(), 1.into_church()), NOR, 0), false.into());
assert_eq!(beta(app(is_even(), 2.into_church()), NOR, 0), true.into());
assert_eq!(beta(app(is_even(), 3.into_church()), NOR, 0), false.into());