(imf-cst-sp-conc-rep cst) → csts
Function:
(defun imf-cst-sp-conc-rep (cst) (declare (xargs :guard (treep cst))) (declare (xargs :guard (imf-cst-matchp cst "sp"))) (let ((__function__ 'imf-cst-sp-conc-rep)) (declare (ignorable __function__)) (tree-list-fix (nth 0 (imf-cst-sp-conc cst)))))
Theorem:
(defthm tree-listp-of-imf-cst-sp-conc-rep (b* ((csts (imf-cst-sp-conc-rep cst))) (tree-listp csts)) :rule-classes :rewrite)
Theorem:
(defthm imf-cst-sp-conc-rep-match (implies (imf-cst-matchp cst "sp") (b* ((csts (imf-cst-sp-conc-rep cst))) (imf-cst-list-rep-matchp csts "%x20"))) :rule-classes :rewrite)
Theorem:
(defthm imf-cst-sp-conc-rep-of-tree-fix-cst (equal (imf-cst-sp-conc-rep (tree-fix cst)) (imf-cst-sp-conc-rep cst)))
Theorem:
(defthm imf-cst-sp-conc-rep-tree-equiv-congruence-on-cst (implies (tree-equiv cst cst-equiv) (equal (imf-cst-sp-conc-rep cst) (imf-cst-sp-conc-rep cst-equiv))) :rule-classes :congruence)