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Fhg-args

Fhg-args->fn-lst

Get the fn-lst field from a fhg-args.

Signature
(fhg-args->fn-lst x) → fn-lst
Arguments: x — Guard (fhg-args-p x).
Returns: fn-lst — Type (func-alistp fn-lst).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: fhg-args->fn-lst$inline

(defun fhg-args->fn-lst$inline (x)
  (declare (xargs :guard (fhg-args-p x)))
  (declare (xargs :guard t))
  (let ((acl2::__function__ 'fhg-args->fn-lst))
    (declare (ignorable acl2::__function__))
    (mbe :logic
         (b* ((x (and t x)))
           (func-alist-fix (cdr (std::da-nth 1 x))))
         :exec (cdr (std::da-nth 1 x)))))

Theorem: func-alistp-of-fhg-args->fn-lst

(defthm func-alistp-of-fhg-args->fn-lst
  (b* ((fn-lst (fhg-args->fn-lst$inline x)))
    (func-alistp fn-lst))
  :rule-classes :rewrite)

Theorem: fhg-args->fn-lst$inline-of-fhg-args-fix-x

(defthm fhg-args->fn-lst$inline-of-fhg-args-fix-x
  (equal (fhg-args->fn-lst$inline (fhg-args-fix x))
         (fhg-args->fn-lst$inline x)))

Theorem: fhg-args->fn-lst$inline-fhg-args-equiv-congruence-on-x

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