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Qualified-ident-option-some

Qualified-ident-option-some->val

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

Signature
(qualified-ident-option-some->val x) → fty::val
Arguments: x — Guard (qualified-ident-optionp x).
Returns: fty::val — Type (qualified-identp fty::val).

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

Definitions and Theorems

Function: qualified-ident-option-some->val$inline

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

Theorem: qualified-identp-of-qualified-ident-option-some->val

(defthm qualified-identp-of-qualified-ident-option-some->val
  (b* ((fty::val (qualified-ident-option-some->val$inline x)))
    (qualified-identp fty::val))
  :rule-classes :rewrite)

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

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

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

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

Theorem: qualified-ident-option-some->val-when-wrong-kind

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