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Representation-of-integer-operations

Shr-uchar

Right shift of a value of type unsigned char by an integer [C:6.5.7].

Definitions and Theorems

Function: shr-uchar

(defun shr-uchar (x y)
  (declare (xargs :guard (and (ucharp x)
                              (integerp y)
                              (shr-uchar-okp x y))))
  (shr-sint (sint-from-uchar x) y))

Theorem: sintp-of-shr-uchar

(defthm sintp-of-shr-uchar
  (sintp (shr-uchar x y)))

Theorem: shr-uchar-of-uchar-fix-x

(defthm shr-uchar-of-uchar-fix-x
  (equal (shr-uchar (uchar-fix x) y)
         (shr-uchar x y)))

Theorem: shr-uchar-uchar-equiv-congruence-on-x

(defthm shr-uchar-uchar-equiv-congruence-on-x
  (implies (uchar-equiv x x-equiv)
           (equal (shr-uchar x y)
                  (shr-uchar x-equiv y)))
  :rule-classes :congruence)

Theorem: shr-uchar-of-ifix-y

(defthm shr-uchar-of-ifix-y
  (equal (shr-uchar x (ifix y))
         (shr-uchar x y)))

Theorem: shr-uchar-int-equiv-congruence-on-y

(defthm shr-uchar-int-equiv-congruence-on-y
  (implies (acl2::int-equiv y y-equiv)
           (equal (shr-uchar x y)
                  (shr-uchar x y-equiv)))
  :rule-classes :congruence)