Function lambda_calculus::arithmetic::geq

pub fn geq() -> Term

Applied to two Church-encoded numbers it returns a Church-encoded boolean indicating whether its first argument is greater than or egual to the second one.

GEQ := λab.LEQ b a = λ λ LEQ 1 2

Examples

use lambda_calculus::arithmetic::{zero, one, geq};
use lambda_calculus::booleans::{tru, fls};
use lambda_calculus::reduction::normalize;

assert_eq!(normalize(geq().app(zero()).app(zero())), tru());
assert_eq!(normalize(geq().app(one()).app(one())),   tru());
assert_eq!(normalize(geq().app(zero()).app(one())),  fls());
assert_eq!(normalize(geq().app(one()).app(zero())),  tru());