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Svex-envlist-check-boolmasks

Signature

(svex-envlist-check-boolmasks boolmasks envs) → *

Arguments

boolmasks — Guard (svar-boolmasks-p boolmasks).

envs — Guard (svex-envlist-p envs).

Definitions and Theorems

Function: svex-envlist-check-boolmasks

(defun svex-envlist-check-boolmasks (boolmasks envs)
  (declare (xargs :guard (and (svar-boolmasks-p boolmasks)
                              (svex-envlist-p envs))))
  (let ((__function__ 'svex-envlist-check-boolmasks))
    (declare (ignorable __function__))
    (if (atom envs)
        t
      (and (svex-env-check-boolmasks
                boolmasks (make-fast-alist (car envs)))
           (svex-envlist-check-boolmasks boolmasks (cdr envs))))))

Theorem: svex-envlist-check-boolmasks-correct

(defthm svex-envlist-check-boolmasks-correct
  (implies (and (svex-envlist-check-boolmasks boolmasks envs)
                (member env envs)
                (svar-boolmasks-p boolmasks))
           (svex-env-boolmasks-ok env boolmasks)))

Theorem: svex-envlist-check-boolmasks-of-svar-boolmasks-fix-boolmasks

(defthm svex-envlist-check-boolmasks-of-svar-boolmasks-fix-boolmasks
 (equal (svex-envlist-check-boolmasks (svar-boolmasks-fix boolmasks)
                                      envs)
        (svex-envlist-check-boolmasks boolmasks envs)))

Theorem: svex-envlist-check-boolmasks-svar-boolmasks-equiv-congruence-on-boolmasks

(defthm
 svex-envlist-check-boolmasks-svar-boolmasks-equiv-congruence-on-boolmasks
 (implies
      (svar-boolmasks-equiv boolmasks boolmasks-equiv)
      (equal (svex-envlist-check-boolmasks boolmasks envs)
             (svex-envlist-check-boolmasks boolmasks-equiv envs)))
 :rule-classes :congruence)

Theorem: svex-envlist-check-boolmasks-of-svex-envlist-fix-envs

(defthm svex-envlist-check-boolmasks-of-svex-envlist-fix-envs
 (equal
    (svex-envlist-check-boolmasks boolmasks (svex-envlist-fix envs))
    (svex-envlist-check-boolmasks boolmasks envs)))

Theorem: svex-envlist-check-boolmasks-svex-envlist-equiv-congruence-on-envs

(defthm
 svex-envlist-check-boolmasks-svex-envlist-equiv-congruence-on-envs
 (implies
      (svex-envlist-equiv envs envs-equiv)
      (equal (svex-envlist-check-boolmasks boolmasks envs)
             (svex-envlist-check-boolmasks boolmasks envs-equiv)))
 :rule-classes :congruence)