		Search-engine friendly clone of the ACL2 documentation.

Representation-of-integer-operations

Bitand-slong-schar

Bitwise conjunction of a value of type signed long and a value of type signed char [C:6.5.10].

Definitions and Theorems

Function: bitand-slong-schar

(defun bitand-slong-schar (x y)
  (declare (xargs :guard (and (slongp x) (scharp y))))
  (bitand-slong-slong x (slong-from-schar y)))

Theorem: slongp-of-bitand-slong-schar

(defthm slongp-of-bitand-slong-schar
  (slongp (bitand-slong-schar x y)))

Theorem: bitand-slong-schar-of-slong-fix-x

(defthm bitand-slong-schar-of-slong-fix-x
  (equal (bitand-slong-schar (slong-fix x) y)
         (bitand-slong-schar x y)))

Theorem: bitand-slong-schar-slong-equiv-congruence-on-x

(defthm bitand-slong-schar-slong-equiv-congruence-on-x
  (implies (slong-equiv x x-equiv)
           (equal (bitand-slong-schar x y)
                  (bitand-slong-schar x-equiv y)))
  :rule-classes :congruence)

Theorem: bitand-slong-schar-of-schar-fix-y

(defthm bitand-slong-schar-of-schar-fix-y
  (equal (bitand-slong-schar x (schar-fix y))
         (bitand-slong-schar x y)))

Theorem: bitand-slong-schar-schar-equiv-congruence-on-y

(defthm bitand-slong-schar-schar-equiv-congruence-on-y
  (implies (schar-equiv y y-equiv)
           (equal (bitand-slong-schar x y)
                  (bitand-slong-schar x y-equiv)))
  :rule-classes :congruence)