		Search-engine friendly clone of the ACL2 documentation.

Fconst-dec

Fconst-dec->suffix?

Get the suffix? field from a fconst-dec.

Signature
(fconst-dec->suffix? x) → suffix?
Arguments: x — Guard (fconstp x).
Returns: suffix? — Type (fsuffix-optionp suffix?).

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

Definitions and Theorems

Function: fconst-dec->suffix?$inline

(defun fconst-dec->suffix?$inline (x)
  (declare (xargs :guard (fconstp x)))
  (declare (xargs :guard (equal (fconst-kind x) :dec)))
  (mbe :logic
       (b* ((x (and (equal (fconst-kind x) :dec) x)))
         (fsuffix-option-fix (cdr (cdr x))))
       :exec (cdr (cdr x))))

Theorem: fsuffix-optionp-of-fconst-dec->suffix?

(defthm fsuffix-optionp-of-fconst-dec->suffix?
  (b* ((suffix? (fconst-dec->suffix?$inline x)))
    (fsuffix-optionp suffix?))
  :rule-classes :rewrite)

Theorem: fconst-dec->suffix?$inline-of-fconst-fix-x

(defthm fconst-dec->suffix?$inline-of-fconst-fix-x
  (equal (fconst-dec->suffix?$inline (fconst-fix x))
         (fconst-dec->suffix?$inline x)))

Theorem: fconst-dec->suffix?$inline-fconst-equiv-congruence-on-x

(defthm fconst-dec->suffix?$inline-fconst-equiv-congruence-on-x
  (implies (fconst-equiv x x-equiv)
           (equal (fconst-dec->suffix?$inline x)
                  (fconst-dec->suffix?$inline x-equiv)))
  :rule-classes :congruence)

Theorem: fconst-dec->suffix?-when-wrong-kind

(defthm fconst-dec->suffix?-when-wrong-kind
  (implies (not (equal (fconst-kind x) :dec))
           (equal (fconst-dec->suffix? x)
                  (fsuffix-option-fix nil))))