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Fgl-bitvector

S-endp

Are we at the end of a signed bit vector?

Signature
(s-endp v) → *
Arguments: v — Guard (true-listp v).

Definitions and Theorems

Function: s-endp$inline

(defun s-endp$inline (v)
  (declare (xargs :guard (true-listp v)))
  (let ((__function__ 's-endp))
    (declare (ignorable __function__))
    (atom (cdr v))))

Theorem: s-endp-of-list-fix

(defthm s-endp-of-list-fix
  (equal (s-endp (list-fix x))
         (s-endp x)))

Theorem: not-s-endp-compound-recognizer

(defthm not-s-endp-compound-recognizer
  (implies (not (s-endp x)) (consp x))
  :rule-classes :compound-recognizer)

Theorem: s-endp$inline-of-list-fix-v

(defthm s-endp$inline-of-list-fix-v
  (equal (s-endp$inline (list-fix v))
         (s-endp$inline v)))

Theorem: s-endp$inline-list-equiv-congruence-on-v

(defthm s-endp$inline-list-equiv-congruence-on-v
  (implies (acl2::list-equiv v v-equiv)
           (equal (s-endp$inline v)
                  (s-endp$inline v-equiv)))
  :rule-classes :congruence)