Function:
(defun http-cst-field-vchar-conc2-rep-elem (cst) (declare (xargs :guard (treep cst))) (declare (xargs :guard (and (http-cst-matchp cst "field-vchar") (equal (http-cst-field-vchar-conc? cst) 2)))) (let ((__function__ 'http-cst-field-vchar-conc2-rep-elem)) (declare (ignorable __function__)) (tree-fix (nth 0 (http-cst-field-vchar-conc2-rep cst)))))
Theorem:
(defthm treep-of-http-cst-field-vchar-conc2-rep-elem (b* ((cst1 (http-cst-field-vchar-conc2-rep-elem cst))) (treep cst1)) :rule-classes :rewrite)
Theorem:
(defthm http-cst-field-vchar-conc2-rep-elem-match (implies (and (http-cst-matchp cst "field-vchar") (equal (http-cst-field-vchar-conc? cst) 2)) (b* ((cst1 (http-cst-field-vchar-conc2-rep-elem cst))) (http-cst-matchp cst1 "obs-text"))) :rule-classes :rewrite)
Theorem:
(defthm http-cst-field-vchar-conc2-rep-elem-of-tree-fix-cst (equal (http-cst-field-vchar-conc2-rep-elem (tree-fix cst)) (http-cst-field-vchar-conc2-rep-elem cst)))
Theorem:
(defthm http-cst-field-vchar-conc2-rep-elem-tree-equiv-congruence-on-cst (implies (tree-equiv cst cst-equiv) (equal (http-cst-field-vchar-conc2-rep-elem cst) (http-cst-field-vchar-conc2-rep-elem cst-equiv))) :rule-classes :congruence)