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Representation-of-integer-operations

Plus-sllong

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

Definitions and Theorems

Function: plus-sllong

(defun plus-sllong (x)
  (declare (xargs :guard (and (sllongp x))))
  (sllong-fix x))

Theorem: sllongp-of-plus-sllong

(defthm sllongp-of-plus-sllong
  (sllongp (plus-sllong x)))

Theorem: plus-sllong-of-sllong-fix-x

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

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

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