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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))
      (let ((__function__ 'uinteger+sinteger-format->unsigned))
        (declare (ignorable __function__))
        (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)