; Contents of this directory: ; ; Readme.lsp This file ; abs.lisp Theorems about absolute value ; binomial.lisp A proof of the binomial theorem ; certify.lsp (ld "certify.lsp") to certify books in this directory ; equalities.lisp Arithmetic equality rules ; factorial.lisp Theorems about the factorial function ; idiv.lisp Theorems about integer division and related functions ; inequalities.lisp Arithmetic inequality rules ; rational-listp.lisp Very short book about lists of rationals ; rationals-with-axioms-proved.lisp Supersedes rationals-with-axioms.lis ; sumlist.lisp Theorems about sum of a list of numbers ; top.lisp Putting it all together ; top-with-meta.lisp Extension of top.lisp by the books in ../meta ; ; Many people contributed to these books, especially ; ; Bishop Brock ; John Cowles ; Matt Kaufmann ; Art Flatau ; Ruben Gamboa ; ACL2-readable data: ((:FILES ; non-empty list of filenames, generated from Unix command "ls -1R" " .: Makefile Readme.lsp abs.lisp binomial.lisp certify.lsp equalities.acl2 equalities.lisp factorial.lisp idiv.lisp inequalities.lisp mod-gcd.lisp natp-posp.lisp rational-listp.lisp rationals.lisp sumlist.lisp top-with-meta.lisp top.lisp ") (:TITLE "Arithmetic") (:AUTHOR/S ; non-empty list of author strings "Bishop Brock" "John Cowles" "Matt Kaufmann" "Art Flatau" "Ruben Gamboa" ) (:KEYWORDS ; non-empty list of keywords, case-insensitive "arithmetic" "abs" "binomial" "equalities" "factorial" "idiv" "division" "integer division" "inequalities" "rationals" "sumlist" ) (:ABSTRACT " This directory contains books to help in proving theorems about arithmetic. See also arithmetic-3/ for an alternate arithmetic library."))