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Fhg-single-args

Fhg-single-args->actuals

Get the actuals field from a fhg-single-args.

Signature
(fhg-single-args->actuals x) → actuals
Arguments: x — Guard (fhg-single-args-p x).
Returns: actuals — Type (pseudo-term-listp actuals).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: fhg-single-args->actuals$inline

(defun fhg-single-args->actuals$inline (x)
  (declare (xargs :guard (fhg-single-args-p x)))
  (declare (xargs :guard t))
  (let ((acl2::__function__ 'fhg-single-args->actuals))
    (declare (ignorable acl2::__function__))
    (mbe :logic
         (b* ((x (and t x)))
           (pseudo-term-list-fix (cdr (std::da-nth 1 x))))
         :exec (cdr (std::da-nth 1 x)))))

Theorem: pseudo-term-listp-of-fhg-single-args->actuals

(defthm pseudo-term-listp-of-fhg-single-args->actuals
  (b* ((actuals (fhg-single-args->actuals$inline x)))
    (pseudo-term-listp actuals))
  :rule-classes :rewrite)

Theorem: fhg-single-args->actuals$inline-of-fhg-single-args-fix-x

(defthm fhg-single-args->actuals$inline-of-fhg-single-args-fix-x
  (equal (fhg-single-args->actuals$inline (fhg-single-args-fix x))
         (fhg-single-args->actuals$inline x)))

Theorem: fhg-single-args->actuals$inline-fhg-single-args-equiv-congruence-on-x

(defthm
 fhg-single-args->actuals$inline-fhg-single-args-equiv-congruence-on-x
 (implies (fhg-single-args-equiv x x-equiv)
          (equal (fhg-single-args->actuals$inline x)
                 (fhg-single-args->actuals$inline x-equiv)))
 :rule-classes :congruence)