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    • Fgl-config

    Fgl-config->trace-rewrites

    Get the trace-rewrites field from a fgl-config.

    Signature
    (fgl-config->trace-rewrites x) → trace-rewrites
    Arguments
    x — Guard (fgl-config-p x).
    Returns
    trace-rewrites — Type (booleanp trace-rewrites).

    This is an ordinary field accessor created by defprod.

    Definitions and Theorems

    Function: fgl-config->trace-rewrites$inline

    (defun
     fgl-config->trace-rewrites$inline (x)
     (declare (xargs :guard (fgl-config-p x)))
     (declare (xargs :guard t))
     (let
      ((__function__ 'fgl-config->trace-rewrites))
      (declare (ignorable __function__))
      (mbe
       :logic
       (b* ((x (and t x)))
           (bool-fix (std::prod-car (std::prod-car (std::prod-car x)))))
       :exec (std::prod-car (std::prod-car (std::prod-car x))))))

    Theorem: booleanp-of-fgl-config->trace-rewrites

    (defthm booleanp-of-fgl-config->trace-rewrites
            (b* ((trace-rewrites (fgl-config->trace-rewrites$inline x)))
                (booleanp trace-rewrites))
            :rule-classes :rewrite)

    Theorem: fgl-config->trace-rewrites$inline-of-fgl-config-fix-x

    (defthm
         fgl-config->trace-rewrites$inline-of-fgl-config-fix-x
         (equal (fgl-config->trace-rewrites$inline (fgl-config-fix x))
                (fgl-config->trace-rewrites$inline x)))

    Theorem: fgl-config->trace-rewrites$inline-fgl-config-equiv-congruence-on-x

    (defthm
      fgl-config->trace-rewrites$inline-fgl-config-equiv-congruence-on-x
      (implies (fgl-config-equiv x x-equiv)
               (equal (fgl-config->trace-rewrites$inline x)
                      (fgl-config->trace-rewrites$inline x-equiv)))
      :rule-classes :congruence)