(imap-cst-append-conc cst) → cstss
Function:
(defun imap-cst-append-conc (cst) (declare (xargs :guard (treep cst))) (declare (xargs :guard (imap-cst-matchp cst "append"))) (let ((__function__ 'imap-cst-append-conc)) (declare (ignorable __function__)) (tree-nonleaf->branches cst)))
Theorem:
(defthm tree-list-listp-of-imap-cst-append-conc (b* ((cstss (imap-cst-append-conc cst))) (tree-list-listp cstss)) :rule-classes :rewrite)
Theorem:
(defthm imap-cst-append-conc-match (implies (imap-cst-matchp cst "append") (b* ((cstss (imap-cst-append-conc cst))) (imap-cst-list-list-conc-matchp cstss "\"APPEND\" sp mailbox [ sp flag-list ] [ sp date-time ] sp literal"))) :rule-classes :rewrite)
Theorem:
(defthm imap-cst-append-conc-of-tree-fix-cst (equal (imap-cst-append-conc (tree-fix cst)) (imap-cst-append-conc cst)))
Theorem:
(defthm imap-cst-append-conc-tree-equiv-congruence-on-cst (implies (tree-equiv cst cst-equiv) (equal (imap-cst-append-conc cst) (imap-cst-append-conc cst-equiv))) :rule-classes :congruence)