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Representation-of-integer-operations

Eq-uchar-uchar

Equality of a value of type unsigned char and a value of type unsigned char [C:6.5.9].

Definitions and Theorems

Function: eq-uchar-uchar

(defun eq-uchar-uchar (x y)
  (declare (xargs :guard (and (ucharp x) (ucharp y))))
  (eq-sint-sint (sint-from-uchar x)
                (sint-from-uchar y)))

Theorem: sintp-of-eq-uchar-uchar

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

Theorem: eq-uchar-uchar-of-uchar-fix-x

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

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

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

Theorem: eq-uchar-uchar-of-uchar-fix-y

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

Theorem: eq-uchar-uchar-uchar-equiv-congruence-on-y

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