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• Observability-fix

Observability-size-check

Signature

(observability-size-check lit-size full-size config) → *

Arguments

lit-size — Guard (natp lit-size).

full-size — Guard (natp full-size).

config — Guard (observability-config-p config).

Definitions and Theorems

Function: observability-size-check

(defun observability-size-check (lit-size full-size config)
  (declare (xargs :guard (and (natp lit-size)
                              (natp full-size)
                              (observability-config-p config))))
  (let ((__function__ 'observability-size-check))
    (declare (ignorable __function__))
    (b* (((observability-config config)))
      (and (or (not config.hyp-max-size)
               (<= (lnfix lit-size)
                   config.hyp-max-size))
           (or (not config.concl-min-size)
               (>= (lnfix full-size)
                   config.concl-min-size))
           (<= (* (numerator config.min-ratio)
                  (lnfix lit-size))
               (* (denominator config.min-ratio)
                  (lnfix full-size)))))))

Theorem: observability-size-check-of-nfix-lit-size

(defthm observability-size-check-of-nfix-lit-size
  (equal (observability-size-check (nfix lit-size)
                                   full-size config)
         (observability-size-check lit-size full-size config)))

Theorem: observability-size-check-nat-equiv-congruence-on-lit-size

(defthm observability-size-check-nat-equiv-congruence-on-lit-size
 (implies
   (nat-equiv lit-size lit-size-equiv)
   (equal
        (observability-size-check lit-size full-size config)
        (observability-size-check lit-size-equiv full-size config)))
 :rule-classes :congruence)

Theorem: observability-size-check-of-nfix-full-size

(defthm observability-size-check-of-nfix-full-size
  (equal (observability-size-check lit-size (nfix full-size)
                                   config)
         (observability-size-check lit-size full-size config)))

Theorem: observability-size-check-nat-equiv-congruence-on-full-size

(defthm observability-size-check-nat-equiv-congruence-on-full-size
 (implies
   (nat-equiv full-size full-size-equiv)
   (equal
        (observability-size-check lit-size full-size config)
        (observability-size-check lit-size full-size-equiv config)))
 :rule-classes :congruence)

Theorem: observability-size-check-of-observability-config-fix-config

(defthm observability-size-check-of-observability-config-fix-config
 (equal (observability-size-check lit-size full-size
                                  (observability-config-fix config))
        (observability-size-check lit-size full-size config)))

Theorem: observability-size-check-observability-config-equiv-congruence-on-config

(defthm
 observability-size-check-observability-config-equiv-congruence-on-config
 (implies
   (observability-config-equiv config config-equiv)
   (equal
        (observability-size-check lit-size full-size config)
        (observability-size-check lit-size full-size config-equiv)))
 :rule-classes :congruence)