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Ex-args

Ex-args->term-lst

Get the term-lst field from a ex-args.

Signature
(ex-args->term-lst x) → term-lst
Arguments: x — Guard (ex-args-p x).
Returns: term-lst — Type (pseudo-term-listp term-lst).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: ex-args->term-lst$inline

(defun ex-args->term-lst$inline (x)
  (declare (xargs :guard (ex-args-p x)))
  (declare (xargs :guard t))
  (let ((acl2::__function__ 'ex-args->term-lst))
    (declare (ignorable acl2::__function__))
    (mbe :logic
         (b* ((x (and t x)))
           (pseudo-term-list-fix (cdr (std::da-nth 0 x))))
         :exec (cdr (std::da-nth 0 x)))))

Theorem: pseudo-term-listp-of-ex-args->term-lst

(defthm pseudo-term-listp-of-ex-args->term-lst
  (b* ((term-lst (ex-args->term-lst$inline x)))
    (pseudo-term-listp term-lst))
  :rule-classes :rewrite)

Theorem: ex-args->term-lst$inline-of-ex-args-fix-x

(defthm ex-args->term-lst$inline-of-ex-args-fix-x
  (equal (ex-args->term-lst$inline (ex-args-fix x))
         (ex-args->term-lst$inline x)))

Theorem: ex-args->term-lst$inline-ex-args-equiv-congruence-on-x

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