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• 4v-nsexpr-p
• 4v-sexpr-compose

4v-nsexpr-p-4v-sexpr-compose

Definitions and Theorems

Theorem: 4v-nsexpr-p-4v-sexpr-compose

(defthm 4v-nsexpr-p-4v-sexpr-compose
  (implies (4v-nsexpr-alist-p al)
           (nat-listp (4v-sexpr-vars (4v-sexpr-compose x al)))))

Theorem: 4v-nsexpr-list-p-4v-sexpr-compose-list

(defthm 4v-nsexpr-list-p-4v-sexpr-compose-list
 (implies
     (4v-nsexpr-alist-p al)
     (nat-listp (4v-sexpr-vars-list (4v-sexpr-compose-list x al)))))

Theorem: 4v-nsexpr-alist-p-4v-sexpr-compose-alist

(defthm 4v-nsexpr-alist-p-4v-sexpr-compose-alist
  (implies (4v-nsexpr-alist-p al)
           (4v-nsexpr-alist-p (4v-sexpr-compose-alist x al))))