(imf-cst-domain-conc3 cst) → cstss
Function:
(defun imf-cst-domain-conc3 (cst) (declare (xargs :guard (treep cst))) (declare (xargs :guard (and (imf-cst-matchp cst "domain") (equal (imf-cst-domain-conc? cst) 3)))) (let ((__function__ 'imf-cst-domain-conc3)) (declare (ignorable __function__)) (tree-nonleaf->branches cst)))
Theorem:
(defthm tree-list-listp-of-imf-cst-domain-conc3 (b* ((cstss (imf-cst-domain-conc3 cst))) (tree-list-listp cstss)) :rule-classes :rewrite)
Theorem:
(defthm imf-cst-domain-conc3-match (implies (and (imf-cst-matchp cst "domain") (equal (imf-cst-domain-conc? cst) 3)) (b* ((cstss (imf-cst-domain-conc3 cst))) (imf-cst-list-list-conc-matchp cstss "obs-domain"))) :rule-classes :rewrite)
Theorem:
(defthm imf-cst-domain-conc3-of-tree-fix-cst (equal (imf-cst-domain-conc3 (tree-fix cst)) (imf-cst-domain-conc3 cst)))
Theorem:
(defthm imf-cst-domain-conc3-tree-equiv-congruence-on-cst (implies (tree-equiv cst cst-equiv) (equal (imf-cst-domain-conc3 cst) (imf-cst-domain-conc3 cst-equiv))) :rule-classes :congruence)