acl2-books-certs 6.3-5 / usr / share / acl2-6.3 / books / str / iprefixp.cert

(IN-PACKAGE "ACL2")
"ACL2 Version 6.3"
:BEGIN-PORTCULLIS-CMDS
(INCLUDE-BOOK "cutil/portcullis" :DIR :SYSTEM)
:END-PORTCULLIS-CMDS
:EXPANSION-ALIST
((4 RECORD-EXPANSION (DEFSECTION STR::IPREFIXP :PARENTS (STR::SUBSTRINGS) :SHORT "Case-insensitive character-list prefix test." :LONG "<p>@(call iprefixp) determines whether one character list is a prefix
of another, where each character is tested using @(see ichareqv).</p>" (DEFUND STR::IPREFIXP (X Y) (DECLARE (XARGS :GUARD (AND (CHARACTER-LISTP X) (CHARACTER-LISTP Y)))) (IF (CONSP X) (AND (CONSP Y) (STR::ICHAREQV (CAR X) (CAR Y)) (STR::IPREFIXP (CDR X) (CDR Y))) T)) (LOCAL (IN-THEORY (ENABLE STR::IPREFIXP))) (DEFTHM STR::IPREFIXP-WHEN-NOT-CONSP-LEFT (IMPLIES (NOT (CONSP X)) (STR::IPREFIXP X Y))) (DEFTHM STR::IPREFIXP-OF-CONS-LEFT (EQUAL (STR::IPREFIXP (CONS A X) Y) (AND (CONSP Y) (STR::ICHAREQV A (CAR Y)) (STR::IPREFIXP X (CDR Y))))) (DEFTHM STR::IPREFIXP-WHEN-NOT-CONSP-RIGHT (IMPLIES (NOT (CONSP Y)) (EQUAL (STR::IPREFIXP X Y) (NOT (CONSP X)))) :HINTS (("Goal" :INDUCT (LEN X)))) (DEFTHM STR::IPREFIXP-OF-CONS-RIGHT (EQUAL (STR::IPREFIXP X (CONS A Y)) (IF (CONSP X) (AND (STR::ICHAREQV (CAR X) A) (STR::IPREFIXP (CDR X) Y)) T))) (DEFTHM STR::IPREFIXP-OF-LIST-FIX-LEFT (EQUAL (STR::IPREFIXP (LIST-FIX X) Y) (STR::IPREFIXP X Y))) (DEFTHM STR::IPREFIXP-OF-LIST-FIX-RIGHT (EQUAL (STR::IPREFIXP X (LIST-FIX Y)) (STR::IPREFIXP X Y))) (DEFCONG STR::ICHARLISTEQV EQUAL (STR::IPREFIXP X Y) 1) (DEFCONG STR::ICHARLISTEQV EQUAL (STR::IPREFIXP X Y) 2) (DEFTHM STR::IPREFIXP-WHEN-PREFIXP (IMPLIES (PREFIXP X Y) (STR::IPREFIXP X Y)))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::IPREFIXP)) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::IPREFIXP (X Y) (DECLARE (XARGS :GUARD (AND (CHARACTER-LISTP X) (CHARACTER-LISTP Y)))) (IF (CONSP X) (AND (CONSP Y) (STR::ICHAREQV (CAR X) (CAR Y)) (STR::IPREFIXP (CDR X) (CDR Y))) T)) (LOCAL (IN-THEORY (ENABLE STR::IPREFIXP))) (DEFTHM STR::IPREFIXP-WHEN-NOT-CONSP-LEFT (IMPLIES (NOT (CONSP X)) (STR::IPREFIXP X Y))) (DEFTHM STR::IPREFIXP-OF-CONS-LEFT (EQUAL (STR::IPREFIXP (CONS A X) Y) (AND (CONSP Y) (STR::ICHAREQV A (CAR Y)) (STR::IPREFIXP X (CDR Y))))) (DEFTHM STR::IPREFIXP-WHEN-NOT-CONSP-RIGHT (IMPLIES (NOT (CONSP Y)) (EQUAL (STR::IPREFIXP X Y) (NOT (CONSP X)))) :HINTS (("Goal" :INDUCT (LEN X)))) (DEFTHM STR::IPREFIXP-OF-CONS-RIGHT (EQUAL (STR::IPREFIXP X (CONS A Y)) (IF (CONSP X) (AND (STR::ICHAREQV (CAR X) A) (STR::IPREFIXP (CDR X) Y)) T))) (DEFTHM STR::IPREFIXP-OF-LIST-FIX-LEFT (EQUAL (STR::IPREFIXP (LIST-FIX X) Y) (STR::IPREFIXP X Y))) (DEFTHM STR::IPREFIXP-OF-LIST-FIX-RIGHT (EQUAL (STR::IPREFIXP X (LIST-FIX Y)) (STR::IPREFIXP X Y))) (DEFCONG STR::ICHARLISTEQV EQUAL (STR::IPREFIXP X Y) 1) (DEFCONG STR::ICHARLISTEQV EQUAL (STR::IPREFIXP X Y) 2) (DEFTHM STR::IPREFIXP-WHEN-PREFIXP (IMPLIES (PREFIXP X Y) (STR::IPREFIXP X Y))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::IPREFIXP)) (XDOC::PARENTS (QUOTE (STR::SUBSTRINGS))) (XDOC::SHORT (QUOTE "Case-insensitive character-list prefix test.")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::IPREFIXP))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "<p>@(call iprefixp) determines whether one character list is a prefix
of another, where each character is tested using @(see ichareqv).</p>") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::IPREFIXP) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::SUBSTRINGS) (:SHORT . "Case-insensitive character-list prefix test.") (:LONG . "<p>@(call iprefixp) determines whether one character list is a prefix
of another, where each character is tested using @(see ichareqv).</p>

<h3>Definitions and Theorems</h3>@(def |STR|::|IPREFIXP|)
@(def |STR|::|IPREFIXP-WHEN-NOT-CONSP-LEFT|)
@(def |STR|::|IPREFIXP-OF-CONS-LEFT|)
@(def |STR|::|IPREFIXP-WHEN-NOT-CONSP-RIGHT|)
@(def |STR|::|IPREFIXP-OF-CONS-RIGHT|)
@(def |STR|::|IPREFIXP-OF-LIST-FIX-LEFT|)
@(def |STR|::|IPREFIXP-OF-LIST-FIX-RIGHT|)
@(def |STR|::|ICHARLISTEQV-IMPLIES-EQUAL-IPREFIXP-1|)
@(def |STR|::|ICHARLISTEQV-IMPLIES-EQUAL-IPREFIXP-2|)
@(def |STR|::|IPREFIXP-WHEN-PREFIXP|)") (:FROM . "[books]/str/iprefixp.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::IPREFIXP)))))) (VALUE-TRIPLE (QUOTE STR::IPREFIXP))))))
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