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Fsuffix-upcase-f64

Fsuffix-upcase-f64->x

Get the x field from a fsuffix-upcase-f64.

Signature
(fsuffix-upcase-f64->x f) → x
Arguments: f — Guard (fsuffixp f).
Returns: x — Type (booleanp x).

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

Definitions and Theorems

Function: fsuffix-upcase-f64->x$inline

(defun fsuffix-upcase-f64->x$inline (f)
  (declare (xargs :guard (fsuffixp f)))
  (declare (xargs :guard (equal (fsuffix-kind f) :upcase-f64)))
  (mbe :logic
       (b* ((f (and (equal (fsuffix-kind f) :upcase-f64)
                    f)))
         (bool-fix (cdr f)))
       :exec (cdr f)))

Theorem: booleanp-of-fsuffix-upcase-f64->x

(defthm booleanp-of-fsuffix-upcase-f64->x
  (b* ((x (fsuffix-upcase-f64->x$inline f)))
    (booleanp x))
  :rule-classes :rewrite)

Theorem: fsuffix-upcase-f64->x$inline-of-fsuffix-fix-f

(defthm fsuffix-upcase-f64->x$inline-of-fsuffix-fix-f
  (equal (fsuffix-upcase-f64->x$inline (fsuffix-fix f))
         (fsuffix-upcase-f64->x$inline f)))

Theorem: fsuffix-upcase-f64->x$inline-fsuffix-equiv-congruence-on-f

(defthm fsuffix-upcase-f64->x$inline-fsuffix-equiv-congruence-on-f
  (implies (fsuffix-equiv f f-equiv)
           (equal (fsuffix-upcase-f64->x$inline f)
                  (fsuffix-upcase-f64->x$inline f-equiv)))
  :rule-classes :congruence)

Theorem: fsuffix-upcase-f64->x-when-wrong-kind

(defthm fsuffix-upcase-f64->x-when-wrong-kind
  (implies (not (equal (fsuffix-kind f) :upcase-f64))
           (equal (fsuffix-upcase-f64->x f)
                  (bool-fix nil))))