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Literal-signed

Literal-signed->value

Get the value field from a literal-signed.

Signature
(literal-signed->value x) → value
Arguments: x — Guard (literalp x).
Returns: value — Type (integerp value).

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

Definitions and Theorems

Function: literal-signed->value$inline

(defun literal-signed->value$inline (x)
  (declare (xargs :guard (literalp x)))
  (declare (xargs :guard (equal (literal-kind x) :signed)))
  (let ((__function__ 'literal-signed->value))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (literal-kind x) :signed)
                      x)))
           (ifix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: integerp-of-literal-signed->value

(defthm integerp-of-literal-signed->value
  (b* ((value (literal-signed->value$inline x)))
    (integerp value))
  :rule-classes :rewrite)

Theorem: literal-signed->value$inline-of-literal-fix-x

(defthm literal-signed->value$inline-of-literal-fix-x
  (equal (literal-signed->value$inline (literal-fix x))
         (literal-signed->value$inline x)))

Theorem: literal-signed->value$inline-literal-equiv-congruence-on-x

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

Theorem: literal-signed->value-when-wrong-kind

(defthm literal-signed->value-when-wrong-kind
  (implies (not (equal (literal-kind x) :signed))
           (equal (literal-signed->value x)
                  (ifix nil))))