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• Hex-string-content-option-some

Hex-string-content-option-some->val

Get the fty::val field from a hex-string-content-option-some.

Signature

(hex-string-content-option-some->val x) → fty::val

Arguments

x — Guard (hex-string-content-optionp x).

Returns

fty::val — Type (hex-string-contentp fty::val).

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

Definitions and Theorems

Function: hex-string-content-option-some->val$inline

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

Theorem: hex-string-contentp-of-hex-string-content-option-some->val

(defthm hex-string-contentp-of-hex-string-content-option-some->val
  (b* ((fty::val (hex-string-content-option-some->val$inline x)))
    (hex-string-contentp fty::val))
  :rule-classes :rewrite)

Theorem: hex-string-content-option-some->val$inline-of-hex-string-content-option-fix-x

(defthm
 hex-string-content-option-some->val$inline-of-hex-string-content-option-fix-x
 (equal (hex-string-content-option-some->val$inline
             (hex-string-content-option-fix x))
        (hex-string-content-option-some->val$inline x)))

Theorem: hex-string-content-option-some->val$inline-hex-string-content-option-equiv-congruence-on-x

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

Theorem: hex-string-content-option-some->val-when-wrong-kind

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