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• Fgl-sat-config

Fgl-sat-config-p

Recognizer for fgl-sat-config.

Signature

(fgl-sat-config-p x) → *

Definitions and Theorems

Function: fgl-sat-config-p

(defun fgl-sat-config-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'fgl-sat-config-p))
    (declare (ignorable __function__))
    (case (tag x)
      ((:fgl-satlink-config)
       (fgl-satlink-monolithic-sat-config-p x))
      ((:fgl-ipasir-config)
       (fgl-ipasir-config-p x))
      (otherwise (fgl-exhaustive-test-config-p x)))))

Theorem: consp-when-fgl-sat-config-p

(defthm consp-when-fgl-sat-config-p
  (implies (fgl-sat-config-p x) (consp x))
  :rule-classes :compound-recognizer)

Theorem: fgl-sat-config-p-when-fgl-satlink-monolithic-sat-config-p

(defthm fgl-sat-config-p-when-fgl-satlink-monolithic-sat-config-p
  (implies (fgl-satlink-monolithic-sat-config-p x)
           (fgl-sat-config-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: fgl-sat-config-p-when-fgl-ipasir-config-p

(defthm fgl-sat-config-p-when-fgl-ipasir-config-p
  (implies (fgl-ipasir-config-p x)
           (fgl-sat-config-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: fgl-sat-config-p-when-fgl-exhaustive-test-config-p

(defthm fgl-sat-config-p-when-fgl-exhaustive-test-config-p
  (implies (fgl-exhaustive-test-config-p x)
           (fgl-sat-config-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: fgl-satlink-monolithic-sat-config-p-by-tag-when-fgl-sat-config-p

(defthm
   fgl-satlink-monolithic-sat-config-p-by-tag-when-fgl-sat-config-p
  (implies (and (or (equal (tag x) :fgl-satlink-config))
                (fgl-sat-config-p x))
           (fgl-satlink-monolithic-sat-config-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: fgl-ipasir-config-p-by-tag-when-fgl-sat-config-p

(defthm fgl-ipasir-config-p-by-tag-when-fgl-sat-config-p
  (implies (and (or (equal (tag x) :fgl-ipasir-config))
                (fgl-sat-config-p x))
           (fgl-ipasir-config-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: fgl-exhaustive-test-config-p-by-tag-when-fgl-sat-config-p

(defthm fgl-exhaustive-test-config-p-by-tag-when-fgl-sat-config-p
  (implies (and (or (equal (tag x)
                           :fgl-exhaustive-test-config))
                (fgl-sat-config-p x))
           (fgl-exhaustive-test-config-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: fgl-sat-config-p-when-invalid-tag

(defthm fgl-sat-config-p-when-invalid-tag
  (implies (and (not (equal (tag x) :fgl-satlink-config))
                (not (equal (tag x) :fgl-ipasir-config))
                (not (equal (tag x)
                            :fgl-exhaustive-test-config)))
           (not (fgl-sat-config-p x)))
  :rule-classes ((:rewrite :backchain-limit-lst 0)))

Theorem: tag-when-fgl-sat-config-p-forward

(defthm tag-when-fgl-sat-config-p-forward
  (implies (fgl-sat-config-p x)
           (or (equal (tag x) :fgl-satlink-config)
               (equal (tag x) :fgl-ipasir-config)
               (equal (tag x)
                      :fgl-exhaustive-test-config)))
  :rule-classes ((:forward-chaining)))