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Primitive-functions

Eval-integerp

Evaluation semantics of integerp.

Signature
(eval-integerp x) → result
Arguments: x — Guard (valuep x).
Returns: result — Type (valuep result).

Definitions and Theorems

Function: eval-integerp

(defun eval-integerp (x)
  (declare (xargs :guard (valuep x)))
  (let ((__function__ 'eval-integerp))
    (declare (ignorable __function__))
    (lift-value (value-case-integer x))))

Theorem: valuep-of-eval-integerp

(defthm valuep-of-eval-integerp
  (b* ((result (eval-integerp x)))
    (valuep result))
  :rule-classes :rewrite)

Theorem: eval-integerp-of-value-fix-x

(defthm eval-integerp-of-value-fix-x
  (equal (eval-integerp (value-fix x))
         (eval-integerp x)))

Theorem: eval-integerp-value-equiv-congruence-on-x

(defthm eval-integerp-value-equiv-congruence-on-x
  (implies (value-equiv x x-equiv)
           (equal (eval-integerp x)
                  (eval-integerp x-equiv)))
  :rule-classes :congruence)