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Representation-of-integer-operations

Plus-slong

Unary plus of a value of type signed long [C17:6.5.3].

Definitions and Theorems

Function: plus-slong

(defun plus-slong (x)
  (declare (xargs :guard (and (slongp x))))
  (slong-fix x))

Theorem: slongp-of-plus-slong

(defthm slongp-of-plus-slong
  (slongp (plus-slong x)))

Theorem: plus-slong-of-slong-fix-x

(defthm plus-slong-of-slong-fix-x
  (equal (plus-slong (slong-fix x))
         (plus-slong x)))

Theorem: plus-slong-slong-equiv-congruence-on-x

(defthm plus-slong-slong-equiv-congruence-on-x
  (implies (slong-equiv x x-equiv)
           (equal (plus-slong x)
                  (plus-slong x-equiv)))
  :rule-classes :congruence)