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Svex-envs-check-ovtests-ok

Signature

(svex-envs-check-ovtests-ok x y overridekey-set) → *

Arguments

x — Guard (svex-env-p x).

y — Guard (svex-env-p y).

Definitions and Theorems

Function: svex-envs-check-ovtests-ok

(defun svex-envs-check-ovtests-ok (x y overridekey-set)
  (declare (xargs :guard (and (svex-env-p x) (svex-env-p y))))
  (let ((__function__ 'svex-envs-check-ovtests-ok))
    (declare (ignorable __function__))
    (svex-envs-check-ovtests-ok-rec
         (append (alist-keys (svex-env-fix x))
                 (alist-keys (svex-env-fix y)))
         x y overridekey-set)))

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

(defthm svex-envs-check-ovtests-ok-correct
  (iff (svex-envs-check-ovtests-ok
            x y
            (pairlis$ (svarlist-change-override overridekeys :test)
                      nil))
       (svex-envs-ovtests-ok x y overridekeys)))

Theorem: svex-envs-check-ovtests-ok-of-svex-env-fix-x

(defthm svex-envs-check-ovtests-ok-of-svex-env-fix-x
  (equal (svex-envs-check-ovtests-ok (svex-env-fix x)
                                     y overridekey-set)
         (svex-envs-check-ovtests-ok x y overridekey-set)))

Theorem: svex-envs-check-ovtests-ok-svex-env-equiv-congruence-on-x

(defthm svex-envs-check-ovtests-ok-svex-env-equiv-congruence-on-x
 (implies
     (svex-env-equiv x x-equiv)
     (equal (svex-envs-check-ovtests-ok x y overridekey-set)
            (svex-envs-check-ovtests-ok x-equiv y overridekey-set)))
 :rule-classes :congruence)

Theorem: svex-envs-check-ovtests-ok-of-svex-env-fix-y

(defthm svex-envs-check-ovtests-ok-of-svex-env-fix-y
  (equal (svex-envs-check-ovtests-ok x (svex-env-fix y)
                                     overridekey-set)
         (svex-envs-check-ovtests-ok x y overridekey-set)))

Theorem: svex-envs-check-ovtests-ok-svex-env-equiv-congruence-on-y

(defthm svex-envs-check-ovtests-ok-svex-env-equiv-congruence-on-y
 (implies
     (svex-env-equiv y y-equiv)
     (equal (svex-envs-check-ovtests-ok x y overridekey-set)
            (svex-envs-check-ovtests-ok x y-equiv overridekey-set)))
 :rule-classes :congruence)