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Lifetime-option-some

Lifetime-option-some->val

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

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

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

Definitions and Theorems

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

(defun lifetime-option-some->val$inline (x)
  (declare (xargs :guard (lifetime-optionp x)))
  (declare (xargs :guard x))
  (mbe :logic (b* ((x (and x x))) (lifetime-fix x))
       :exec x))

Theorem: lifetimep-of-lifetime-option-some->val

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

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

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

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

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

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

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