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• Pseudo-term-call
• Pseudo-term-fncall
• Pseudo-term-lambda

Pseudo-term-call->args

Accessor for the arguments of a lambda or function call pseudo-term.

Signature

(pseudo-term-call->args x) → args

Arguments

x — Guard (pseudo-termp x).

Returns

args — Type (pseudo-term-listp args).

Definitions and Theorems

Function: pseudo-term-call->args

(defun pseudo-term-call->args (x)
  (declare (xargs :guard (pseudo-termp x)))
  (declare (xargs :guard (member-eq (pseudo-term-kind x)
                                    '(:fncall :lambda))))
  (let ((__function__ 'pseudo-term-call->args))
    (declare (ignorable __function__))
    (mbe :logic (and (or (eq (pseudo-term-kind x) :lambda)
                         (eq (pseudo-term-kind x) :fncall))
                     (cdr (pseudo-term-fix x)))
         :exec (cdr x))))

Theorem: pseudo-term-listp-of-pseudo-term-call->args

(defthm pseudo-term-listp-of-pseudo-term-call->args
  (b* ((args (pseudo-term-call->args x)))
    (pseudo-term-listp args))
  :rule-classes :rewrite)

Theorem: acl2-count-of-pseudo-term-call->args

(defthm acl2-count-of-pseudo-term-call->args
  (implies (or (equal (pseudo-term-kind x) :lambda)
               (equal (pseudo-term-kind x) :fncall))
           (< (acl2-count (pseudo-term-call->args x))
              (acl2-count (pseudo-term-fix x))))
  :rule-classes
  ((:linear
        :trigger-terms ((acl2-count (pseudo-term-call->args x))))))

Theorem: pseudo-term-call->args-of-pseudo-term-fix-x

(defthm pseudo-term-call->args-of-pseudo-term-fix-x
  (equal (pseudo-term-call->args (pseudo-term-fix x))
         (pseudo-term-call->args x)))

Theorem: pseudo-term-call->args-pseudo-term-equiv-congruence-on-x

(defthm pseudo-term-call->args-pseudo-term-equiv-congruence-on-x
  (implies (pseudo-term-equiv x x-equiv)
           (equal (pseudo-term-call->args x)
                  (pseudo-term-call->args x-equiv)))
  :rule-classes :congruence)