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Plexeme-spaces

Plexeme-spaces->count

Get the count field from a plexeme-spaces.

Signature
(plexeme-spaces->count x) → count
Arguments: x — Guard (plexemep x).
Returns: count — Type (posp count).

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

Definitions and Theorems

Function: plexeme-spaces->count$inline

(defun plexeme-spaces->count$inline (x)
  (declare (xargs :guard (plexemep x)))
  (declare (xargs :guard (equal (plexeme-kind x) :spaces)))
  (mbe :logic
       (b* ((x (and (equal (plexeme-kind x) :spaces)
                    x)))
         (pos-fix (std::da-nth 0 (cdr x))))
       :exec (std::da-nth 0 (cdr x))))

Theorem: posp-of-plexeme-spaces->count

(defthm posp-of-plexeme-spaces->count
  (b* ((count (plexeme-spaces->count$inline x)))
    (posp count))
  :rule-classes :rewrite)

Theorem: plexeme-spaces->count$inline-of-plexeme-fix-x

(defthm plexeme-spaces->count$inline-of-plexeme-fix-x
  (equal (plexeme-spaces->count$inline (plexeme-fix x))
         (plexeme-spaces->count$inline x)))

Theorem: plexeme-spaces->count$inline-plexeme-equiv-congruence-on-x

(defthm plexeme-spaces->count$inline-plexeme-equiv-congruence-on-x
  (implies (plexeme-equiv x x-equiv)
           (equal (plexeme-spaces->count$inline x)
                  (plexeme-spaces->count$inline x-equiv)))
  :rule-classes :congruence)

Theorem: plexeme-spaces->count-when-wrong-kind

(defthm plexeme-spaces->count-when-wrong-kind
  (implies (not (equal (plexeme-kind x) :spaces))
           (equal (plexeme-spaces->count x)
                  (pos-fix nil))))