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Chars+exprs

Chars+exprs->exprs

Get the exprs field from a chars+exprs.

Signature
(chars+exprs->exprs x) → exprs
Arguments: x — Guard (chars+exprs-p x).
Returns: exprs — Type (expression-listp exprs).

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

Definitions and Theorems

Function: chars+exprs->exprs$inline

(defun chars+exprs->exprs$inline (x)
  (declare (xargs :guard (chars+exprs-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'chars+exprs->exprs))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (expression-list-fix (cdr (std::da-nth 1 (cdr x)))))
         :exec (cdr (std::da-nth 1 (cdr x))))))

Theorem: expression-listp-of-chars+exprs->exprs

(defthm expression-listp-of-chars+exprs->exprs
  (b* ((exprs (chars+exprs->exprs$inline x)))
    (expression-listp exprs))
  :rule-classes :rewrite)

Theorem: chars+exprs->exprs$inline-of-chars+exprs-fix-x

(defthm chars+exprs->exprs$inline-of-chars+exprs-fix-x
  (equal (chars+exprs->exprs$inline (chars+exprs-fix x))
         (chars+exprs->exprs$inline x)))

Theorem: chars+exprs->exprs$inline-chars+exprs-equiv-congruence-on-x

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