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Float-value-listp

Float-value-listp-basics

Basic theorems about float-value-listp, generated by std::deflist.

Definitions and Theorems

Theorem: float-value-listp-of-cons

(defthm float-value-listp-of-cons
  (equal (float-value-listp (cons acl2::a acl2::x))
         (and (float-valuep acl2::a)
              (float-value-listp acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: float-value-listp-of-cdr-when-float-value-listp

(defthm float-value-listp-of-cdr-when-float-value-listp
  (implies (float-value-listp (double-rewrite acl2::x))
           (float-value-listp (cdr acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: float-value-listp-when-not-consp

(defthm float-value-listp-when-not-consp
  (implies (not (consp acl2::x))
           (equal (float-value-listp acl2::x)
                  (not acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: float-valuep-of-car-when-float-value-listp

(defthm float-valuep-of-car-when-float-value-listp
  (implies (float-value-listp acl2::x)
           (iff (float-valuep (car acl2::x))
                (consp acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: true-listp-when-float-value-listp-compound-recognizer

(defthm true-listp-when-float-value-listp-compound-recognizer
  (implies (float-value-listp acl2::x)
           (true-listp acl2::x))
  :rule-classes :compound-recognizer)

Theorem: float-value-listp-of-list-fix

(defthm float-value-listp-of-list-fix
  (implies (float-value-listp acl2::x)
           (float-value-listp (list-fix acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: float-value-listp-of-rev

(defthm float-value-listp-of-rev
  (equal (float-value-listp (rev acl2::x))
         (float-value-listp (list-fix acl2::x)))
  :rule-classes ((:rewrite)))