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• Valid-ext-info-option-some

Valid-ext-info-option-some->val

Get the fty::val field from a valid-ext-info-option-some.

Signature

(valid-ext-info-option-some->val x) → fty::val

Arguments

x — Guard (valid-ext-info-optionp x).

Returns

fty::val — Type (valid-ext-infop fty::val).

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

Definitions and Theorems

Function: valid-ext-info-option-some->val$inline

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

Theorem: valid-ext-infop-of-valid-ext-info-option-some->val

(defthm valid-ext-infop-of-valid-ext-info-option-some->val
  (b* ((fty::val (valid-ext-info-option-some->val$inline x)))
    (valid-ext-infop fty::val))
  :rule-classes :rewrite)

Theorem: valid-ext-info-option-some->val$inline-of-valid-ext-info-option-fix-x

(defthm
 valid-ext-info-option-some->val$inline-of-valid-ext-info-option-fix-x
 (equal (valid-ext-info-option-some->val$inline
             (valid-ext-info-option-fix x))
        (valid-ext-info-option-some->val$inline x)))

Theorem: valid-ext-info-option-some->val$inline-valid-ext-info-option-equiv-congruence-on-x

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

Theorem: valid-ext-info-option-some->val-when-wrong-kind

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