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Const-char

Const-char->cconst

Get the cconst field from a const-char.

Signature
(const-char->cconst x) → cconst
Arguments: x — Guard (constp x).
Returns: cconst — Type (cconstp cconst).

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

Definitions and Theorems

Function: const-char->cconst$inline

(defun const-char->cconst$inline (x)
  (declare (xargs :guard (constp x)))
  (declare (xargs :guard (equal (const-kind x) :char)))
  (mbe :logic
       (b* ((x (and (equal (const-kind x) :char) x)))
         (cconst-fix (cdr x)))
       :exec (cdr x)))

Theorem: cconstp-of-const-char->cconst

(defthm cconstp-of-const-char->cconst
  (b* ((cconst (const-char->cconst$inline x)))
    (cconstp cconst))
  :rule-classes :rewrite)

Theorem: const-char->cconst$inline-of-const-fix-x

(defthm const-char->cconst$inline-of-const-fix-x
  (equal (const-char->cconst$inline (const-fix x))
         (const-char->cconst$inline x)))

Theorem: const-char->cconst$inline-const-equiv-congruence-on-x

(defthm const-char->cconst$inline-const-equiv-congruence-on-x
  (implies (const-equiv x x-equiv)
           (equal (const-char->cconst$inline x)
                  (const-char->cconst$inline x-equiv)))
  :rule-classes :congruence)

Theorem: const-char->cconst-when-wrong-kind

(defthm const-char->cconst-when-wrong-kind
  (implies (not (equal (const-kind x) :char))
           (equal (const-char->cconst x)
                  (cconst-fix nil))))