(smtp-cst-addtl-link-conc-rep cst) → csts
Function:
(defun smtp-cst-addtl-link-conc-rep (cst) (declare (xargs :guard (treep cst))) (declare (xargs :guard (smtp-cst-matchp cst "addtl-link"))) (let ((__function__ 'smtp-cst-addtl-link-conc-rep)) (declare (ignorable __function__)) (tree-list-fix (nth 0 (smtp-cst-addtl-link-conc cst)))))
Theorem:
(defthm tree-listp-of-smtp-cst-addtl-link-conc-rep (b* ((csts (smtp-cst-addtl-link-conc-rep cst))) (tree-listp csts)) :rule-classes :rewrite)
Theorem:
(defthm smtp-cst-addtl-link-conc-rep-match (implies (smtp-cst-matchp cst "addtl-link") (b* ((csts (smtp-cst-addtl-link-conc-rep cst))) (smtp-cst-list-rep-matchp csts "atom"))) :rule-classes :rewrite)
Theorem:
(defthm smtp-cst-addtl-link-conc-rep-of-tree-fix-cst (equal (smtp-cst-addtl-link-conc-rep (tree-fix cst)) (smtp-cst-addtl-link-conc-rep cst)))
Theorem:
(defthm smtp-cst-addtl-link-conc-rep-tree-equiv-congruence-on-cst (implies (tree-equiv cst cst-equiv) (equal (smtp-cst-addtl-link-conc-rep cst) (smtp-cst-addtl-link-conc-rep cst-equiv))) :rule-classes :congruence)