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Svex-envlists-check-ovtests-ok

Signature

(svex-envlists-check-ovtests-ok x y overridekeys) → *

Arguments

x — Guard (svex-envlist-p x).

y — Guard (svex-envlist-p y).

overridekeys — Guard (svarlist-p overridekeys).

Definitions and Theorems

Function: svex-envlists-check-ovtests-ok

(defun svex-envlists-check-ovtests-ok (x y overridekeys)
 (declare (xargs :guard (and (svex-envlist-p x)
                             (svex-envlist-p y)
                             (svarlist-p overridekeys))))
 (let ((__function__ 'svex-envlists-check-ovtests-ok))
   (declare (ignorable __function__))
   (svex-envlists-check-ovtests-ok-rec
        (make-fast-alists x)
        (make-fast-alists y)
        (make-fast-alist
             (pairlis$ (svarlist-change-override overridekeys :test)
                       nil)))))

Theorem: svex-envlists-check-ovtests-ok-correct

(defthm svex-envlists-check-ovtests-ok-correct
  (iff (svex-envlists-check-ovtests-ok x y overridekeys)
       (svex-envlists-ovtests-ok x y overridekeys)))

Theorem: svex-envlists-check-ovtests-ok-of-svex-envlist-fix-x

(defthm svex-envlists-check-ovtests-ok-of-svex-envlist-fix-x
  (equal (svex-envlists-check-ovtests-ok (svex-envlist-fix x)
                                         y overridekeys)
         (svex-envlists-check-ovtests-ok x y overridekeys)))

Theorem: svex-envlists-check-ovtests-ok-svex-envlist-equiv-congruence-on-x

(defthm
  svex-envlists-check-ovtests-ok-svex-envlist-equiv-congruence-on-x
 (implies
    (svex-envlist-equiv x x-equiv)
    (equal (svex-envlists-check-ovtests-ok x y overridekeys)
           (svex-envlists-check-ovtests-ok x-equiv y overridekeys)))
 :rule-classes :congruence)

Theorem: svex-envlists-check-ovtests-ok-of-svex-envlist-fix-y

(defthm svex-envlists-check-ovtests-ok-of-svex-envlist-fix-y
  (equal (svex-envlists-check-ovtests-ok x (svex-envlist-fix y)
                                         overridekeys)
         (svex-envlists-check-ovtests-ok x y overridekeys)))

Theorem: svex-envlists-check-ovtests-ok-svex-envlist-equiv-congruence-on-y

(defthm
  svex-envlists-check-ovtests-ok-svex-envlist-equiv-congruence-on-y
 (implies
    (svex-envlist-equiv y y-equiv)
    (equal (svex-envlists-check-ovtests-ok x y overridekeys)
           (svex-envlists-check-ovtests-ok x y-equiv overridekeys)))
 :rule-classes :congruence)

Theorem: svex-envlists-check-ovtests-ok-of-svarlist-fix-overridekeys

(defthm svex-envlists-check-ovtests-ok-of-svarlist-fix-overridekeys
 (equal
    (svex-envlists-check-ovtests-ok x y (svarlist-fix overridekeys))
    (svex-envlists-check-ovtests-ok x y overridekeys)))

Theorem: svex-envlists-check-ovtests-ok-svarlist-equiv-congruence-on-overridekeys

(defthm
 svex-envlists-check-ovtests-ok-svarlist-equiv-congruence-on-overridekeys
 (implies
    (svarlist-equiv overridekeys overridekeys-equiv)
    (equal (svex-envlists-check-ovtests-ok x y overridekeys)
           (svex-envlists-check-ovtests-ok x y overridekeys-equiv)))
 :rule-classes :congruence)