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