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• Integer-operations

Int-minus

Unary minus - on ints [JLS14:4.2.2] [JLS14:15.15.4].

Signature

(int-minus operand) → result

Arguments

operand — Guard (int-valuep operand).

Returns

result — Type (int-valuep result).

Definitions and Theorems

Function: int-minus

(defun int-minus (operand)
  (declare (xargs :guard (int-valuep operand)))
  (b* ((x (int-value->int operand)))
    (int-value (logext 32 (- x)))))

Theorem: int-valuep-of-int-minus

(defthm int-valuep-of-int-minus
  (b* ((result (int-minus operand)))
    (int-valuep result))
  :rule-classes :rewrite)

Theorem: int-minus-of-int-value-fix-operand

(defthm int-minus-of-int-value-fix-operand
  (equal (int-minus (int-value-fix operand))
         (int-minus operand)))

Theorem: int-minus-int-value-equiv-congruence-on-operand

(defthm int-minus-int-value-equiv-congruence-on-operand
  (implies (int-value-equiv operand operand-equiv)
           (equal (int-minus operand)
                  (int-minus operand-equiv)))
  :rule-classes :congruence)