(smtp-cst-ipv6v4-comp-conc cst) → cstss
Function:
(defun smtp-cst-ipv6v4-comp-conc (cst) (declare (xargs :guard (treep cst))) (declare (xargs :guard (smtp-cst-matchp cst "ipv6v4-comp"))) (let ((__function__ 'smtp-cst-ipv6v4-comp-conc)) (declare (ignorable __function__)) (tree-nonleaf->branches cst)))
Theorem:
(defthm tree-list-listp-of-smtp-cst-ipv6v4-comp-conc (b* ((cstss (smtp-cst-ipv6v4-comp-conc cst))) (tree-list-listp cstss)) :rule-classes :rewrite)
Theorem:
(defthm smtp-cst-ipv6v4-comp-conc-match (implies (smtp-cst-matchp cst "ipv6v4-comp") (b* ((cstss (smtp-cst-ipv6v4-comp-conc cst))) (smtp-cst-list-list-conc-matchp cstss "[ ipv6-hex *3( \":\" ipv6-hex ) ] \"::\" [ ipv6-hex *3( \":\" ipv6-hex ) \":\" ] ipv4-address-literal"))) :rule-classes :rewrite)
Theorem:
(defthm smtp-cst-ipv6v4-comp-conc-of-tree-fix-cst (equal (smtp-cst-ipv6v4-comp-conc (tree-fix cst)) (smtp-cst-ipv6v4-comp-conc cst)))
Theorem:
(defthm smtp-cst-ipv6v4-comp-conc-tree-equiv-congruence-on-cst (implies (tree-equiv cst cst-equiv) (equal (smtp-cst-ipv6v4-comp-conc cst) (smtp-cst-ipv6v4-comp-conc cst-equiv))) :rule-classes :congruence)