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Isuffix-lu

Isuffix-lu->length

Get the length field from a isuffix-lu.

Signature
(isuffix-lu->length x) → length
Arguments: x — Guard (isuffixp x).
Returns: length — Type (lsuffixp length).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: isuffix-lu->length$inline

(defun isuffix-lu->length$inline (x)
  (declare (xargs :guard (isuffixp x)))
  (declare (xargs :guard (equal (isuffix-kind x) :lu)))
  (let ((__function__ 'isuffix-lu->length))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (isuffix-kind x) :lu) x)))
           (lsuffix-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: lsuffixp-of-isuffix-lu->length

(defthm lsuffixp-of-isuffix-lu->length
  (b* ((length (isuffix-lu->length$inline x)))
    (lsuffixp length))
  :rule-classes :rewrite)

Theorem: isuffix-lu->length$inline-of-isuffix-fix-x

(defthm isuffix-lu->length$inline-of-isuffix-fix-x
  (equal (isuffix-lu->length$inline (isuffix-fix x))
         (isuffix-lu->length$inline x)))

Theorem: isuffix-lu->length$inline-isuffix-equiv-congruence-on-x

(defthm isuffix-lu->length$inline-isuffix-equiv-congruence-on-x
  (implies (isuffix-equiv x x-equiv)
           (equal (isuffix-lu->length$inline x)
                  (isuffix-lu->length$inline x-equiv)))
  :rule-classes :congruence)

Theorem: isuffix-lu->length-when-wrong-kind

(defthm isuffix-lu->length-when-wrong-kind
  (implies (not (equal (isuffix-kind x) :lu))
           (equal (isuffix-lu->length x)
                  (lsuffix-fix nil))))