		Search-engine friendly clone of the ACL2 documentation.

Representation-of-integer-operations

Shl-schar-schar

Left shift of a value of type signed char and a value of type signed char [C:6.5.7].

Definitions and Theorems

Function: shl-schar-schar

(defun shl-schar-schar (x y)
  (declare (xargs :guard (and (scharp x)
                              (scharp y)
                              (shl-schar-schar-okp x y))))
  (shl-schar x (integer-from-schar y)))

Theorem: sintp-of-shl-schar-schar

(defthm sintp-of-shl-schar-schar
  (sintp (shl-schar-schar x y)))

Theorem: shl-schar-schar-of-schar-fix-x

(defthm shl-schar-schar-of-schar-fix-x
  (equal (shl-schar-schar (schar-fix x) y)
         (shl-schar-schar x y)))

Theorem: shl-schar-schar-schar-equiv-congruence-on-x

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

Theorem: shl-schar-schar-of-schar-fix-y

(defthm shl-schar-schar-of-schar-fix-y
  (equal (shl-schar-schar x (schar-fix y))
         (shl-schar-schar x y)))

Theorem: shl-schar-schar-schar-equiv-congruence-on-y

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