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Uinteger+sinteger-format

Uinteger+sinteger-format->unsigned

Get the unsigned field from a uinteger+sinteger-format.

Signature
(uinteger+sinteger-format->unsigned x) → unsigned
Arguments: x — Guard (uinteger+sinteger-formatp x).
Returns: unsigned — Type (uinteger-formatp unsigned).

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

Definitions and Theorems

Function: uinteger+sinteger-format->unsigned$inline

(defun uinteger+sinteger-format->unsigned$inline (x)
  (declare (xargs :guard (uinteger+sinteger-formatp x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (uinteger-format-fix (cdr (std::da-nth 0 x))))
       :exec (cdr (std::da-nth 0 x))))

Theorem: uinteger-formatp-of-uinteger+sinteger-format->unsigned

(defthm uinteger-formatp-of-uinteger+sinteger-format->unsigned
  (b* ((unsigned (uinteger+sinteger-format->unsigned$inline x)))
    (uinteger-formatp unsigned))
  :rule-classes :rewrite)

Theorem: uinteger+sinteger-format->unsigned$inline-of-uinteger+sinteger-format-fix-x

(defthm
 uinteger+sinteger-format->unsigned$inline-of-uinteger+sinteger-format-fix-x
 (equal (uinteger+sinteger-format->unsigned$inline
             (uinteger+sinteger-format-fix x))
        (uinteger+sinteger-format->unsigned$inline x)))

Theorem: uinteger+sinteger-format->unsigned$inline-uinteger+sinteger-format-equiv-congruence-on-x

(defthm
 uinteger+sinteger-format->unsigned$inline-uinteger+sinteger-format-equiv-congruence-on-x
 (implies
      (uinteger+sinteger-format-equiv x x-equiv)
      (equal (uinteger+sinteger-format->unsigned$inline x)
             (uinteger+sinteger-format->unsigned$inline x-equiv)))
 :rule-classes :congruence)