		Search-engine friendly clone of the ACL2 documentation.

Fundecl-option-some

Fundecl-option-some->val

Get the fty::val field from a fundecl-option-some.

Signature
(fundecl-option-some->val x) → fty::val
Arguments: x — Guard (fundecl-optionp x).
Returns: fty::val — Type (fundeclp fty::val).

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

Definitions and Theorems

Function: fundecl-option-some->val$inline

(defun fundecl-option-some->val$inline (x)
  (declare (xargs :guard (fundecl-optionp x)))
  (declare (xargs :guard x))
  (let ((__function__ 'fundecl-option-some->val))
    (declare (ignorable __function__))
    (mbe :logic (b* ((x (and x x))) (fundecl-fix x))
         :exec x)))

Theorem: fundeclp-of-fundecl-option-some->val

(defthm fundeclp-of-fundecl-option-some->val
  (b* ((fty::val (fundecl-option-some->val$inline x)))
    (fundeclp fty::val))
  :rule-classes :rewrite)

Theorem: fundecl-option-some->val$inline-of-fundecl-option-fix-x

(defthm fundecl-option-some->val$inline-of-fundecl-option-fix-x
  (equal (fundecl-option-some->val$inline (fundecl-option-fix x))
         (fundecl-option-some->val$inline x)))

Theorem: fundecl-option-some->val$inline-fundecl-option-equiv-congruence-on-x

(defthm
 fundecl-option-some->val$inline-fundecl-option-equiv-congruence-on-x
 (implies (fundecl-option-equiv x x-equiv)
          (equal (fundecl-option-some->val$inline x)
                 (fundecl-option-some->val$inline x-equiv)))
 :rule-classes :congruence)

Theorem: fundecl-option-some->val-when-wrong-kind

(defthm fundecl-option-some->val-when-wrong-kind
  (implies (not x)
           (equal (fundecl-option-some->val x)
                  (fundecl-fix nil))))