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Outcome-theorem-success

Outcome-theorem-success->message

Get the message field from a outcome-theorem-success.

Signature
(outcome-theorem-success->message x) → message
Arguments: x — Guard (outcomep x).
Returns: message — Type (stringp message).

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

Definitions and Theorems

Function: outcome-theorem-success->message$inline

(defun outcome-theorem-success->message$inline (x)
  (declare (xargs :guard (outcomep x)))
  (declare (xargs :guard (equal (outcome-kind x)
                                :theorem-success)))
  (let ((__function__ 'outcome-theorem-success->message))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (outcome-kind x)
                             :theorem-success)
                      x)))
           (str-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: stringp-of-outcome-theorem-success->message

(defthm stringp-of-outcome-theorem-success->message
  (b* ((message (outcome-theorem-success->message$inline x)))
    (stringp message))
  :rule-classes :rewrite)

Theorem: outcome-theorem-success->message$inline-of-outcome-fix-x

(defthm outcome-theorem-success->message$inline-of-outcome-fix-x
  (equal (outcome-theorem-success->message$inline (outcome-fix x))
         (outcome-theorem-success->message$inline x)))

Theorem: outcome-theorem-success->message$inline-outcome-equiv-congruence-on-x

(defthm
 outcome-theorem-success->message$inline-outcome-equiv-congruence-on-x
 (implies (outcome-equiv x x-equiv)
          (equal (outcome-theorem-success->message$inline x)
                 (outcome-theorem-success->message$inline x-equiv)))
 :rule-classes :congruence)

Theorem: outcome-theorem-success->message-when-wrong-kind

(defthm outcome-theorem-success->message-when-wrong-kind
  (implies (not (equal (outcome-kind x)
                       :theorem-success))
           (equal (outcome-theorem-success->message x)
                  (str-fix nil))))