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Axi-term

Axi-term-kind

Get the kind (tag) of a axi-term structure.

Signature
(axi-term-kind x) → kind
Arguments: x — Guard (axi-term-p x).

Definitions and Theorems

Function: axi-term-kind$inline

(defun axi-term-kind$inline (x)
  (declare (xargs :guard (axi-term-p x)))
  (let ((__function__ 'axi-term-kind))
    (declare (ignorable __function__))
    (cond ((eq x nil) :const)
          ((atom x) :var)
          (t :gate))))

Theorem: axi-term-kind-possibilities

(defthm axi-term-kind-possibilities
  (or (equal (axi-term-kind x) :const)
      (equal (axi-term-kind x) :var)
      (equal (axi-term-kind x) :gate))
  :rule-classes
  ((:forward-chaining :trigger-terms ((axi-term-kind x)))))