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Bin-expo-prefix

Bin-expo-prefix-kind

Get the kind (tag) of a bin-expo-prefix structure.

Signature
(bin-expo-prefix-kind x) → kind
Arguments: x — Guard (bin-expo-prefixp x).

Definitions and Theorems

Function: bin-expo-prefix-kind$inline

(defun bin-expo-prefix-kind$inline (x)
  (declare (xargs :guard (bin-expo-prefixp x)))
  (let ((__function__ 'bin-expo-prefix-kind))
    (declare (ignorable __function__))
    (mbe :logic (cond ((or (atom x) (eq (car x) :locase-p))
                       :locase-p)
                      (t :upcase-p))
         :exec (car x))))

Theorem: bin-expo-prefix-kind-possibilities

(defthm bin-expo-prefix-kind-possibilities
  (or (equal (bin-expo-prefix-kind x)
             :locase-p)
      (equal (bin-expo-prefix-kind x)
             :upcase-p))
  :rule-classes
  ((:forward-chaining :trigger-terms ((bin-expo-prefix-kind x)))))