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3col4vecline

3col4vecline->label

Get the label field from a 3col4vecline.

Signature
(3col4vecline->label x) → label
Arguments: x — Guard (3col4vecline-p x).
Returns: label — Type (msgp label).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: 3col4vecline->label$inline

(defun 3col4vecline->label$inline (x)
  (declare (xargs :guard (3col4vecline-p x)))
  (declare (xargs :guard t))
  (let ((__function__ '3col4vecline->label))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (msg-fix (std::prod-car x)))
         :exec (std::prod-car x))))

Theorem: msgp-of-3col4vecline->label

(defthm msgp-of-3col4vecline->label
  (b* ((label (3col4vecline->label$inline x)))
    (msgp label))
  :rule-classes :rewrite)

Theorem: 3col4vecline->label$inline-of-3col4vecline-fix-x

(defthm 3col4vecline->label$inline-of-3col4vecline-fix-x
  (equal (3col4vecline->label$inline (3col4vecline-fix x))
         (3col4vecline->label$inline x)))

Theorem: 3col4vecline->label$inline-3col4vecline-equiv-congruence-on-x

(defthm
      3col4vecline->label$inline-3col4vecline-equiv-congruence-on-x
  (implies (3col4vecline-equiv x x-equiv)
           (equal (3col4vecline->label$inline x)
                  (3col4vecline->label$inline x-equiv)))
  :rule-classes :congruence)