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Proof-outcome

Proof-outcome-kind

Get the kind (tag) of a proof-outcome structure.

Signature
(proof-outcome-kind x) → kind
Arguments: x — Guard (proof-outcomep x).

Definitions and Theorems

Function: proof-outcome-kind$inline

(defun proof-outcome-kind$inline (x)
  (declare (xargs :guard (proof-outcomep x)))
  (let ((__function__ 'proof-outcome-kind))
    (declare (ignorable __function__))
    (mbe :logic (cond ((or (atom x) (eq (car x) :assertion))
                       :assertion)
                      ((eq (car x) :fail) :fail)
                      (t :error))
         :exec (car x))))

Theorem: proof-outcome-kind-possibilities

(defthm proof-outcome-kind-possibilities
  (or (equal (proof-outcome-kind x)
             :assertion)
      (equal (proof-outcome-kind x) :fail)
      (equal (proof-outcome-kind x) :error))
  :rule-classes
  ((:forward-chaining :trigger-terms ((proof-outcome-kind x)))))