Function lambda_calculus::data::boolean::and

pub fn and() -> Term

Applied to two lambda-encoded booleans it returns their lambda-encoded conjunction.

AND ≡ λpq.p q p ≡ λ λ 2 1 2

Examples

use lambda_calculus::data::boolean::{and, tru, fls};
use lambda_calculus::*;

assert_eq!(beta(app!(and(), tru(), tru()), NOR, 0), tru());
assert_eq!(beta(app!(and(), tru(), fls()), NOR, 0), fls());
assert_eq!(beta(app!(and(), fls(), tru()), NOR, 0), fls());
assert_eq!(beta(app!(and(), fls(), fls()), NOR, 0), fls());