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Vl-warningtree-pair

Vl-warningtree->left

Get the left field from a vl-warningtree-pair.

Signature
(vl-warningtree->left x) → left
Arguments: x — Guard (vl-warningtree-p x).
Returns: left — Type (vl-warningtree-p left).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: vl-warningtree->left$inline

(defun vl-warningtree->left$inline (x)
  (declare (xargs :guard (vl-warningtree-p x)))
  (declare (xargs :guard (equal (vl-warningtree-kind x) :pair)))
  (let ((__function__ 'vl-warningtree->left))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (vl-warningtree-kind x) :pair)
                      x)))
           (vl-warningtree-fix (car x)))
         :exec (car x))))

Theorem: vl-warningtree-p-of-vl-warningtree->left

(defthm vl-warningtree-p-of-vl-warningtree->left
  (b* ((left (vl-warningtree->left$inline x)))
    (vl-warningtree-p left))
  :rule-classes :rewrite)

Theorem: vl-warningtree->left$inline-of-vl-warningtree-fix-x

(defthm vl-warningtree->left$inline-of-vl-warningtree-fix-x
  (equal (vl-warningtree->left$inline (vl-warningtree-fix x))
         (vl-warningtree->left$inline x)))

Theorem: vl-warningtree->left$inline-vl-warningtree-equiv-congruence-on-x

(defthm
   vl-warningtree->left$inline-vl-warningtree-equiv-congruence-on-x
  (implies (vl-warningtree-equiv x x-equiv)
           (equal (vl-warningtree->left$inline x)
                  (vl-warningtree->left$inline x-equiv)))
  :rule-classes :congruence)

Theorem: vl-warningtree->left-when-wrong-kind

(defthm vl-warningtree->left-when-wrong-kind
  (implies (not (equal (vl-warningtree-kind x) :pair))
           (equal (vl-warningtree->left x)
                  (vl-warningtree-fix nil))))