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Repetition

Repetition->range

Get the range field from a repetition.

Signature
(repetition->range x) → range
Arguments: x — Guard (repetitionp x).
Returns: range — Type (repeat-rangep range).

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

Definitions and Theorems

Function: repetition->range$inline

(defun repetition->range$inline (x)
  (declare (xargs :guard (repetitionp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'repetition->range))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (repeat-range-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: repeat-rangep-of-repetition->range

(defthm repeat-rangep-of-repetition->range
  (b* ((range (repetition->range$inline x)))
    (repeat-rangep range))
  :rule-classes :rewrite)

Theorem: repetition->range$inline-of-repetition-fix-x

(defthm repetition->range$inline-of-repetition-fix-x
  (equal (repetition->range$inline (repetition-fix x))
         (repetition->range$inline x)))

Theorem: repetition->range$inline-repetition-equiv-congruence-on-x

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