Function lambda_calculus::arithmetic::lt

pub fn lt() -> Term

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

LT := λab.NOT (LEQ b a) = λ λ NOT (LEQ 1 2)

Examples

use lambda_calculus::arithmetic::lt;
use lambda_calculus::booleans::{tru, fls};
use lambda_calculus::reduction::beta_full;

assert_eq!(beta_full(lt().app(0.into()).app(0.into())), fls());
assert_eq!(beta_full(lt().app(1.into()).app(1.into())), fls());
assert_eq!(beta_full(lt().app(0.into()).app(1.into())), tru());
assert_eq!(beta_full(lt().app(1.into()).app(0.into())), fls());