		Search-engine friendly clone of the ACL2 documentation.

Po-node

Po-node->fanin

Get the fanin field from a po-node.

Signature
(po-node->fanin x) → fanin
Arguments: x — Guard (node-p x).
Returns: fanin — Type (litp fanin).

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

Definitions and Theorems

Function: po-node->fanin$inline

(defun po-node->fanin$inline (x)
  (declare (xargs :guard (node-p x)))
  (declare (xargs :guard (equal (stype x) :po)))
  (let ((__function__ 'po-node->fanin))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (stype x) :po) x)))
           (lit-fix (cadr x)))
         :exec (cadr x))))

Theorem: litp-of-po-node->fanin

(defthm litp-of-po-node->fanin
  (b* ((fanin (po-node->fanin$inline x)))
    (litp fanin))
  :rule-classes :type-prescription)

Theorem: po-node->fanin$inline-of-node-fix-x

(defthm po-node->fanin$inline-of-node-fix-x
  (equal (po-node->fanin$inline (node-fix x))
         (po-node->fanin$inline x)))

Theorem: po-node->fanin$inline-node-equiv-congruence-on-x

(defthm po-node->fanin$inline-node-equiv-congruence-on-x
  (implies (node-equiv x x-equiv)
           (equal (po-node->fanin$inline x)
                  (po-node->fanin$inline x-equiv)))
  :rule-classes :congruence)

Theorem: po-node->fanin-when-wrong-kind

(defthm po-node->fanin-when-wrong-kind
  (implies (not (equal (stype x) :po))
           (equal (po-node->fanin x)
                  (lit-fix nil))))