		Search-engine friendly clone of the ACL2 documentation.

Closure

Closure->inputs

Get the inputs field from a closure.

Signature
(closure->inputs x) → inputs
Arguments: x — Guard (closurep x).
Returns: inputs — Type (closure-input-listp inputs).

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

Definitions and Theorems

Function: closure->inputs$inline

(defun closure->inputs$inline (x)
  (declare (xargs :guard (closurep x)))
  (declare (xargs :guard t))
  (let ((__function__ 'closure->inputs))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (closure-input-list-fix (cdr (std::da-nth 1 (cdr x)))))
         :exec (cdr (std::da-nth 1 (cdr x))))))

Theorem: closure-input-listp-of-closure->inputs

(defthm closure-input-listp-of-closure->inputs
  (b* ((inputs (closure->inputs$inline x)))
    (closure-input-listp inputs))
  :rule-classes :rewrite)

Theorem: closure->inputs$inline-of-closure-fix-x

(defthm closure->inputs$inline-of-closure-fix-x
  (equal (closure->inputs$inline (closure-fix x))
         (closure->inputs$inline x)))

Theorem: closure->inputs$inline-closure-equiv-congruence-on-x

(defthm closure->inputs$inline-closure-equiv-congruence-on-x
  (implies (closure-equiv x x-equiv)
           (equal (closure->inputs$inline x)
                  (closure->inputs$inline x-equiv)))
  :rule-classes :congruence)