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Identifier-option-some

Identifier-option-some->val

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

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

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

Definitions and Theorems

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

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

Theorem: identifierp-of-identifier-option-some->val

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

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

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

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

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

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

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