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Dexpo-option-some

Dexpo-option-some->val

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

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

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

Definitions and Theorems

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

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

Theorem: dexpop-of-dexpo-option-some->val

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

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

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

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

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

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

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