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Representation-of-integer-operations

Lognot-schar

Logical complement of a value of type signed char [C:6.5.3].

Definitions and Theorems

Function: lognot-schar

(defun lognot-schar (x)
  (declare (xargs :guard (and (scharp x))))
  (sint-from-boolean (= (integer-from-schar x) 0)))

Theorem: sintp-of-lognot-schar

(defthm sintp-of-lognot-schar
  (sintp (lognot-schar x)))

Theorem: lognot-schar-of-schar-fix-x

(defthm lognot-schar-of-schar-fix-x
  (equal (lognot-schar (schar-fix x))
         (lognot-schar x)))

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

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