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Integer-operations

Long-plus

Unary plus + on longs [JLS14:4.2.2] [JLS14:15.15.3].

Signature
(long-plus operand) → result
Arguments: operand — Guard (long-valuep operand).
Returns: result — Type (long-valuep result).

Definitions and Theorems

Function: long-plus

(defun long-plus (operand)
  (declare (xargs :guard (long-valuep operand)))
  (b* ((x (long-value->int operand)))
    (long-value x)))

Theorem: long-valuep-of-long-plus

(defthm long-valuep-of-long-plus
  (b* ((result (long-plus operand)))
    (long-valuep result))
  :rule-classes :rewrite)

Theorem: long-plus-of-long-value-fix-operand

(defthm long-plus-of-long-value-fix-operand
  (equal (long-plus (long-value-fix operand))
         (long-plus operand)))

Theorem: long-plus-long-value-equiv-congruence-on-operand

(defthm long-plus-long-value-equiv-congruence-on-operand
  (implies (long-value-equiv operand operand-equiv)
           (equal (long-plus operand)
                  (long-plus operand-equiv)))
  :rule-classes :congruence)