		Search-engine friendly clone of the ACL2 documentation.

Repeat-range

Repeat-range->min

Get the min field from a repeat-range.

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

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

Definitions and Theorems

Function: repeat-range->min$inline

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

Theorem: natp-of-repeat-range->min

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

Theorem: repeat-range->min$inline-of-repeat-range-fix-x

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

Theorem: repeat-range->min$inline-repeat-range-equiv-congruence-on-x

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