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• Maybe-byte-list20-some

Maybe-byte-list20-some->val

Get the fty::val field from a maybe-byte-list20-some.

Signature

(maybe-byte-list20-some->val x) → fty::val

Arguments

x — Guard (maybe-byte-list20p x).

Returns

fty::val — Type (byte-list20p fty::val).

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

Definitions and Theorems

Function: maybe-byte-list20-some->val$inline

(defun maybe-byte-list20-some->val$inline (x)
  (declare (xargs :guard (maybe-byte-list20p x)))
  (declare (xargs :guard x))
  (let ((__function__ 'maybe-byte-list20-some->val))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and x x)))
           (acl2::byte-list20-fix x))
         :exec x)))

Theorem: byte-list20p-of-maybe-byte-list20-some->val

(defthm byte-list20p-of-maybe-byte-list20-some->val
  (b* ((fty::val (maybe-byte-list20-some->val$inline x)))
    (byte-list20p fty::val))
  :rule-classes :rewrite)

Theorem: maybe-byte-list20-some->val$inline-of-maybe-byte-list20-fix-x

(defthm
      maybe-byte-list20-some->val$inline-of-maybe-byte-list20-fix-x
 (equal
      (maybe-byte-list20-some->val$inline (maybe-byte-list20-fix x))
      (maybe-byte-list20-some->val$inline x)))

Theorem: maybe-byte-list20-some->val$inline-maybe-byte-list20-equiv-congruence-on-x

(defthm
 maybe-byte-list20-some->val$inline-maybe-byte-list20-equiv-congruence-on-x
 (implies (maybe-byte-list20-equiv x x-equiv)
          (equal (maybe-byte-list20-some->val$inline x)
                 (maybe-byte-list20-some->val$inline x-equiv)))
 :rule-classes :congruence)

Theorem: maybe-byte-list20-some->val-when-wrong-kind

(defthm maybe-byte-list20-some->val-when-wrong-kind
  (implies (not x)
           (equal (maybe-byte-list20-some->val x)
                  (acl2::byte-list20-fix nil))))