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Proof-tree

Proof-tree-kind

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

Signature
(proof-tree-kind x) → kind
Arguments: x — Guard (proof-treep x).

Definitions and Theorems

Function: proof-tree-kind$inline

(defun proof-tree-kind$inline (x)
  (declare (xargs :guard (proof-treep x)))
  (let ((__function__ 'proof-tree-kind))
    (declare (ignorable __function__))
    (mbe :logic (cond ((or (atom x) (eq (car x) :equal))
                       :equal)
                      (t :relation))
         :exec (car x))))

Theorem: proof-tree-kind-possibilities

(defthm proof-tree-kind-possibilities
  (or (equal (proof-tree-kind x) :equal)
      (equal (proof-tree-kind x) :relation))
  :rule-classes
  ((:forward-chaining :trigger-terms ((proof-tree-kind x)))))