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