Function lambda_calculus::arithmetic::eq
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[src]
pub fn eq() -> Term
Applied to two Church-encoded numbers it returns a Church-encoded boolean indicating whether its first argument is egual to the second one.
EQ := λmn.AND (LEQ m n) (LEQ n m) = λ λ AND (LEQ 2 1) (LEQ 1 2)
Examples
use lambda_calculus::arithmetic::eq; use lambda_calculus::booleans::{tru, fls}; use lambda_calculus::reduction::beta_full; assert_eq!(beta_full(eq().app(0.into()).app(0.into())), tru()); assert_eq!(beta_full(eq().app(1.into()).app(1.into())), tru()); assert_eq!(beta_full(eq().app(0.into()).app(1.into())), fls()); assert_eq!(beta_full(eq().app(1.into()).app(0.into())), fls());