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Exprs-gout

Exprs-gout->terms

Get the terms field from a exprs-gout.

Signature
(exprs-gout->terms x) → terms
Arguments: x — Guard (exprs-goutp x).
Returns: terms — Type (pseudo-term-listp terms).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: exprs-gout->terms$inline

(defun exprs-gout->terms$inline (x)
  (declare (xargs :guard (exprs-goutp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'exprs-gout->terms))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (pseudo-term-list-fix (cdr (std::da-nth 2 x))))
         :exec (cdr (std::da-nth 2 x)))))

Theorem: pseudo-term-listp-of-exprs-gout->terms

(defthm pseudo-term-listp-of-exprs-gout->terms
  (b* ((terms (exprs-gout->terms$inline x)))
    (pseudo-term-listp terms))
  :rule-classes :rewrite)

Theorem: exprs-gout->terms$inline-of-exprs-gout-fix-x

(defthm exprs-gout->terms$inline-of-exprs-gout-fix-x
  (equal (exprs-gout->terms$inline (exprs-gout-fix x))
         (exprs-gout->terms$inline x)))

Theorem: exprs-gout->terms$inline-exprs-gout-equiv-congruence-on-x

(defthm exprs-gout->terms$inline-exprs-gout-equiv-congruence-on-x
  (implies (exprs-gout-equiv x x-equiv)
           (equal (exprs-gout->terms$inline x)
                  (exprs-gout->terms$inline x-equiv)))
  :rule-classes :congruence)