Check if the division of a value of type
Function:
(defun div-schar-sshort-okp (x y) (declare (xargs :guard (and (scharp x) (sshortp y)))) (div-sint-sint-okp (sint-from-schar x) (sint-from-sshort y)))
Theorem:
(defthm booleanp-of-div-schar-sshort-okp (booleanp (div-schar-sshort-okp x y)))
Theorem:
(defthm div-schar-sshort-okp-of-schar-fix-x (equal (div-schar-sshort-okp (schar-fix x) y) (div-schar-sshort-okp x y)))
Theorem:
(defthm div-schar-sshort-okp-schar-equiv-congruence-on-x (implies (schar-equiv x x-equiv) (equal (div-schar-sshort-okp x y) (div-schar-sshort-okp x-equiv y))) :rule-classes :congruence)
Theorem:
(defthm div-schar-sshort-okp-of-sshort-fix-y (equal (div-schar-sshort-okp x (sshort-fix y)) (div-schar-sshort-okp x y)))
Theorem:
(defthm div-schar-sshort-okp-sshort-equiv-congruence-on-y (implies (sshort-equiv y y-equiv) (equal (div-schar-sshort-okp x y) (div-schar-sshort-okp x y-equiv))) :rule-classes :congruence)