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Plexeme-number

Plexeme-number->number

Get the number field from a plexeme-number.

Signature
(plexeme-number->number x) → number
Arguments: x — Guard (plexemep x).
Returns: number — Type (pnumberp number).

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

Definitions and Theorems

Function: plexeme-number->number$inline

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

Theorem: pnumberp-of-plexeme-number->number

(defthm pnumberp-of-plexeme-number->number
  (b* ((number (plexeme-number->number$inline x)))
    (pnumberp number))
  :rule-classes :rewrite)

Theorem: plexeme-number->number$inline-of-plexeme-fix-x

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

Theorem: plexeme-number->number$inline-plexeme-equiv-congruence-on-x

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

Theorem: plexeme-number->number-when-wrong-kind

(defthm plexeme-number->number-when-wrong-kind
  (implies (not (equal (plexeme-kind x) :number))
           (equal (plexeme-number->number x)
                  (pnumber-fix nil))))