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Literal-signed

Literal-signed->size

Get the size field from a literal-signed.

Signature
(literal-signed->size x) → size
Arguments: x — Guard (literalp x).
Returns: size — Type (leo-early::bitsizep size).

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

Definitions and Theorems

Function: literal-signed->size$inline

(defun literal-signed->size$inline (x)
  (declare (xargs :guard (literalp x)))
  (declare (xargs :guard (equal (literal-kind x) :signed)))
  (let ((__function__ 'literal-signed->size))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (literal-kind x) :signed)
                      x)))
           (leo-early::bitsize-fix (std::da-nth 1 (cdr x))))
         :exec (std::da-nth 1 (cdr x)))))

Theorem: bitsizep-of-literal-signed->size

(defthm bitsizep-of-literal-signed->size
  (b* ((size (literal-signed->size$inline x)))
    (leo-early::bitsizep size))
  :rule-classes :rewrite)

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

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

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

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

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

(defthm literal-signed->size-when-wrong-kind
  (implies (not (equal (literal-kind x) :signed))
           (equal (literal-signed->size x)
                  (leo-early::bitsize-fix nil))))