Function lambda_calculus::booleans::and

pub fn and() -> Term

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

AND := λpq.p q p = λ λ 2 1 2

Examples

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

assert_eq!(beta_full(and().app(tru()).app(tru())), tru());
assert_eq!(beta_full(and().app(tru()).app(fls())), fls());
assert_eq!(beta_full(and().app(fls()).app(tru())), fls());
assert_eq!(beta_full(and().app(fls()).app(fls())), fls());