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• Atj-library-extensions

Fty-check-list-call

FTY version of check-list-call.

Signature

(fty-check-list-call term) → (mv yes/no elements)

Arguments

term — Guard (pseudo-termp term).

Returns

yes/no — Type (booleanp yes/no).

elements — Type (pseudo-term-listp elements).

Definitions and Theorems

Function: fty-check-list-call

(defun fty-check-list-call (term)
  (declare (xargs :guard (pseudo-termp term)))
  (let ((__function__ 'fty-check-list-call))
    (declare (ignorable __function__))
    (check-list-call (pseudo-term-fix term))))

Theorem: booleanp-of-fty-check-list-call.yes/no

(defthm booleanp-of-fty-check-list-call.yes/no
  (b* (((mv ?yes/no ?elements)
        (fty-check-list-call term)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: pseudo-term-listp-of-fty-check-list-call.elements

(defthm pseudo-term-listp-of-fty-check-list-call.elements
  (b* (((mv ?yes/no ?elements)
        (fty-check-list-call term)))
    (pseudo-term-listp elements))
  :rule-classes :rewrite)

Theorem: pseudo-term-count-of-fty-check-list-call-weak

(defthm pseudo-term-count-of-fty-check-list-call-weak
  (b* (((mv ?yes/no ?elements)
        (fty-check-list-call term)))
    (implies yes/no
             (<= (pseudo-term-list-count elements)
                 (pseudo-term-count term))))
  :rule-classes :linear)

Theorem: pseudo-term-count-of-fty-check-list-call

(defthm pseudo-term-count-of-fty-check-list-call
  (b* (((mv ?yes/no ?elements)
        (fty-check-list-call term)))
    (implies yes/no
             (implies (consp elements)
                      (< (pseudo-term-list-count elements)
                         (pseudo-term-count term)))))
  :rule-classes :linear)