Less-than relation of a value of type
Function:
(defun lt-schar-slong (x y) (declare (xargs :guard (and (scharp x) (slongp y)))) (lt-slong-slong (slong-from-schar x) y))
Theorem:
(defthm sintp-of-lt-schar-slong (sintp (lt-schar-slong x y)))
Theorem:
(defthm lt-schar-slong-of-schar-fix-x (equal (lt-schar-slong (schar-fix x) y) (lt-schar-slong x y)))
Theorem:
(defthm lt-schar-slong-schar-equiv-congruence-on-x (implies (schar-equiv x x-equiv) (equal (lt-schar-slong x y) (lt-schar-slong x-equiv y))) :rule-classes :congruence)
Theorem:
(defthm lt-schar-slong-of-slong-fix-y (equal (lt-schar-slong x (slong-fix y)) (lt-schar-slong x y)))
Theorem:
(defthm lt-schar-slong-slong-equiv-congruence-on-y (implies (slong-equiv y y-equiv) (equal (lt-schar-slong x y) (lt-schar-slong x y-equiv))) :rule-classes :congruence)