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Value-symbol

Value-symbol->get

Get the get field from a value-symbol.

Signature
(value-symbol->get x) → get
Arguments: x — Guard (valuep x).
Returns: get — Type (symbol-valuep get).

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

Definitions and Theorems

Function: value-symbol->get$inline

(defun value-symbol->get$inline (x)
  (declare (xargs :guard (valuep x)))
  (declare (xargs :guard (equal (value-kind x) :symbol)))
  (let ((__function__ 'value-symbol->get))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (value-kind x) :symbol) x)))
           (symbol-value-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: symbol-valuep-of-value-symbol->get

(defthm symbol-valuep-of-value-symbol->get
  (b* ((get (value-symbol->get$inline x)))
    (symbol-valuep get))
  :rule-classes :rewrite)

Theorem: value-symbol->get$inline-of-value-fix-x

(defthm value-symbol->get$inline-of-value-fix-x
  (equal (value-symbol->get$inline (value-fix x))
         (value-symbol->get$inline x)))

Theorem: value-symbol->get$inline-value-equiv-congruence-on-x

(defthm value-symbol->get$inline-value-equiv-congruence-on-x
  (implies (value-equiv x x-equiv)
           (equal (value-symbol->get$inline x)
                  (value-symbol->get$inline x-equiv)))
  :rule-classes :congruence)

Theorem: value-symbol->get-when-wrong-kind

(defthm value-symbol->get-when-wrong-kind
  (implies (not (equal (value-kind x) :symbol))
           (equal (value-symbol->get x)
                  (symbol-value-fix nil))))