(http-cst-list-list-alt-matchp$ treess alt) → yes/no
Function:
(defun http-cst-list-list-alt-matchp$ (treess alt) (declare (xargs :guard (and (tree-list-listp treess) (alternationp alt)))) (let ((__function__ 'http-cst-list-list-alt-matchp$)) (declare (ignorable __function__)) (and (tree-list-list-terminatedp treess) (tree-list-list-match-alternation-p treess alt *all-http-grammar-rules*))))
Theorem:
(defthm booleanp-of-http-cst-list-list-alt-matchp$ (b* ((yes/no (http-cst-list-list-alt-matchp$ treess alt))) (booleanp yes/no)) :rule-classes :rewrite)
Theorem:
(defthm http-cst-list-list-alt-matchp$-of-tree-list-list-fix-treess (equal (http-cst-list-list-alt-matchp$ (tree-list-list-fix treess) alt) (http-cst-list-list-alt-matchp$ treess alt)))
Theorem:
(defthm http-cst-list-list-alt-matchp$-tree-list-list-equiv-congruence-on-treess (implies (tree-list-list-equiv treess treess-equiv) (equal (http-cst-list-list-alt-matchp$ treess alt) (http-cst-list-list-alt-matchp$ treess-equiv alt))) :rule-classes :congruence)
Theorem:
(defthm http-cst-list-list-alt-matchp$-of-alternation-fix-alt (equal (http-cst-list-list-alt-matchp$ treess (alternation-fix alt)) (http-cst-list-list-alt-matchp$ treess alt)))
Theorem:
(defthm http-cst-list-list-alt-matchp$-alternation-equiv-congruence-on-alt (implies (alternation-equiv alt alt-equiv) (equal (http-cst-list-list-alt-matchp$ treess alt) (http-cst-list-list-alt-matchp$ treess alt-equiv))) :rule-classes :congruence)