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Fhg-args

Fhg-args->lambda-acc

Get the lambda-acc field from a fhg-args.

Signature
(fhg-args->lambda-acc x) → lambda-acc
Arguments: x — Guard (fhg-args-p x).
Returns: lambda-acc — Type (lambda-binding-listp lambda-acc).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: fhg-args->lambda-acc$inline

(defun fhg-args->lambda-acc$inline (x)
  (declare (xargs :guard (fhg-args-p x)))
  (declare (xargs :guard t))
  (let ((acl2::__function__ 'fhg-args->lambda-acc))
    (declare (ignorable acl2::__function__))
    (mbe :logic
         (b* ((x (and t x)))
           (lambda-binding-list-fix (cdr (std::da-nth 4 x))))
         :exec (cdr (std::da-nth 4 x)))))

Theorem: lambda-binding-listp-of-fhg-args->lambda-acc

(defthm lambda-binding-listp-of-fhg-args->lambda-acc
  (b* ((lambda-acc (fhg-args->lambda-acc$inline x)))
    (lambda-binding-listp lambda-acc))
  :rule-classes :rewrite)

Theorem: fhg-args->lambda-acc$inline-of-fhg-args-fix-x

(defthm fhg-args->lambda-acc$inline-of-fhg-args-fix-x
  (equal (fhg-args->lambda-acc$inline (fhg-args-fix x))
         (fhg-args->lambda-acc$inline x)))

Theorem: fhg-args->lambda-acc$inline-fhg-args-equiv-congruence-on-x

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