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• Fgl-config

Fgl-config->skip-vacuity-check

Get the skip-vacuity-check field from a fgl-config.

Signature

(fgl-config->skip-vacuity-check x) → skip-vacuity-check

Arguments

x — Guard (fgl-config-p x).

Returns

skip-vacuity-check — Type (booleanp skip-vacuity-check).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: fgl-config->skip-vacuity-check$inline

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

Theorem: booleanp-of-fgl-config->skip-vacuity-check

(defthm booleanp-of-fgl-config->skip-vacuity-check
  (b*
    ((skip-vacuity-check (fgl-config->skip-vacuity-check$inline x)))
    (booleanp skip-vacuity-check))
  :rule-classes :rewrite)

Theorem: fgl-config->skip-vacuity-check$inline-of-fgl-config-fix-x

(defthm fgl-config->skip-vacuity-check$inline-of-fgl-config-fix-x
  (equal (fgl-config->skip-vacuity-check$inline (fgl-config-fix x))
         (fgl-config->skip-vacuity-check$inline x)))

Theorem: fgl-config->skip-vacuity-check$inline-fgl-config-equiv-congruence-on-x

(defthm
 fgl-config->skip-vacuity-check$inline-fgl-config-equiv-congruence-on-x
 (implies (fgl-config-equiv x x-equiv)
          (equal (fgl-config->skip-vacuity-check$inline x)
                 (fgl-config->skip-vacuity-check$inline x-equiv)))
 :rule-classes :congruence)