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Deftreeops-table-value-option-some

Deftreeops-table-value-option-some->val

Get the fty::val field from a deftreeops-table-value-option-some.

Signature
(deftreeops-table-value-option-some->val x) → fty::val
Arguments: x — Guard (deftreeops-table-value-optionp x).
Returns: fty::val — Type (deftreeops-table-valuep fty::val).

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

Definitions and Theorems

Function: deftreeops-table-value-option-some->val$inline

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

Theorem: deftreeops-table-valuep-of-deftreeops-table-value-option-some->val

(defthm
 deftreeops-table-valuep-of-deftreeops-table-value-option-some->val
 (b* ((fty::val (deftreeops-table-value-option-some->val$inline x)))
   (deftreeops-table-valuep fty::val))
 :rule-classes :rewrite)

Theorem: deftreeops-table-value-option-some->val$inline-of-deftreeops-table-value-option-fix-x

(defthm
 deftreeops-table-value-option-some->val$inline-of-deftreeops-table-value-option-fix-x
 (equal (deftreeops-table-value-option-some->val$inline
             (deftreeops-table-value-option-fix x))
        (deftreeops-table-value-option-some->val$inline x)))

Theorem: deftreeops-table-value-option-some->val$inline-deftreeops-table-value-option-equiv-congruence-on-x

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

Theorem: deftreeops-table-value-option-some->val-when-wrong-kind

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