diff --git a/Makefile b/Makefile
new file mode 100644
index 0000000..2cde1e0
--- /dev/null
+++ b/Makefile
@@ -0,0 +1,311 @@
+#############################################################################
+##  v      #                   The Coq Proof Assistant                     ##
+## <O___,, #                INRIA - CNRS - LIX - LRI - PPS                 ##
+##   \VV/  #                                                               ##
+##    //   #  Makefile automagically generated by coq_makefile V8.6        ##
+#############################################################################
+
+# WARNING
+#
+# This Makefile has been automagically generated
+# Edit at your own risks !
+#
+# END OF WARNING
+
+#
+# This Makefile was generated by the command line :
+# coq_makefile -f _CoqProject -o Makefile 
+#
+
+.DEFAULT_GOAL := all
+
+# This Makefile may take arguments passed as environment variables:
+# COQBIN to specify the directory where Coq binaries resides;
+# TIMECMD set a command to log .v compilation time;
+# TIMED if non empty, use the default time command as TIMECMD;
+# ZDEBUG/COQDEBUG to specify debug flags for ocamlc&ocamlopt/coqc;
+# DSTROOT to specify a prefix to install path.
+# VERBOSE to disable the short display of compilation rules.
+
+VERBOSE?=
+SHOW := $(if $(VERBOSE),@true "",@echo "")
+HIDE := $(if $(VERBOSE),,@)
+
+# Here is a hack to make $(eval $(shell works:
+define donewline
+
+
+endef
+includecmdwithout@ = $(eval $(subst @,$(donewline),$(shell { $(1) | tr -d '\r' | tr '\n' '@'; })))
+$(call includecmdwithout@,$(COQBIN)coqtop -config)
+
+TIMED?=
+TIMECMD?=
+STDTIME?=/usr/bin/time -f "$* (user: %U mem: %M ko)"
+TIMER=$(if $(TIMED), $(STDTIME), $(TIMECMD))
+
+vo_to_obj = $(addsuffix .o,\
+  $(filter-out Warning: Error:,\
+  $(shell $(COQBIN)coqtop -q -noinit -batch -quiet -print-mod-uid $(1))))
+
+##########################
+#                        #
+# Libraries definitions. #
+#                        #
+##########################
+
+COQLIBS?=\
+  -R "." ""
+COQCHKLIBS?=\
+  -R "." ""
+COQDOCLIBS?=\
+  -R "." ""
+
+##########################
+#                        #
+# Variables definitions. #
+#                        #
+##########################
+
+COQC=hoqc
+COQDEP=hoqdep
+
+OPT?=
+COQDEP?="$(COQBIN)coqdep" -c
+COQFLAGS?=-q $(OPT) $(COQLIBS) $(OTHERFLAGS) $(COQ_XML)
+COQCHKFLAGS?=-silent -o
+COQDOCFLAGS?=-interpolate -utf8
+COQC?=$(TIMER) "$(COQBIN)coqc"
+GALLINA?="$(COQBIN)gallina"
+COQDOC?="$(COQBIN)coqdoc"
+COQCHK?="$(COQBIN)coqchk"
+COQMKTOP?="$(COQBIN)coqmktop"
+
+##################
+#                #
+# Install Paths. #
+#                #
+##################
+
+ifdef USERINSTALL
+XDG_DATA_HOME?="$(HOME)/.local/share"
+COQLIBINSTALL=$(XDG_DATA_HOME)/coq
+COQDOCINSTALL=$(XDG_DATA_HOME)/doc/coq
+else
+COQLIBINSTALL="${COQLIB}user-contrib"
+COQDOCINSTALL="${DOCDIR}user-contrib"
+COQTOPINSTALL="${COQLIB}toploop"
+endif
+
+######################
+#                    #
+# Files dispatching. #
+#                    #
+######################
+
+VFILES:=Mod2.v\
+  FinSets.v\
+  Expressions.v\
+  Integers.v
+
+ifneq ($(filter-out archclean clean cleanall printenv,$(MAKECMDGOALS)),)
+-include $(addsuffix .d,$(VFILES))
+else
+ifeq ($(MAKECMDGOALS),)
+-include $(addsuffix .d,$(VFILES))
+endif
+endif
+
+.SECONDARY: $(addsuffix .d,$(VFILES))
+
+VO=vo
+VOFILES:=$(VFILES:.v=.$(VO))
+GLOBFILES:=$(VFILES:.v=.glob)
+GFILES:=$(VFILES:.v=.g)
+HTMLFILES:=$(VFILES:.v=.html)
+GHTMLFILES:=$(VFILES:.v=.g.html)
+OBJFILES=$(call vo_to_obj,$(VOFILES))
+ALLNATIVEFILES=$(OBJFILES:.o=.cmi) $(OBJFILES:.o=.cmo) $(OBJFILES:.o=.cmx) $(OBJFILES:.o=.cmxs)
+NATIVEFILES=$(foreach f, $(ALLNATIVEFILES), $(wildcard $f))
+ifeq '$(HASNATDYNLINK)' 'true'
+HASNATDYNLINK_OR_EMPTY := yes
+else
+HASNATDYNLINK_OR_EMPTY :=
+endif
+
+#######################################
+#                                     #
+# Definition of the toplevel targets. #
+#                                     #
+#######################################
+
+all: $(VOFILES) 
+
+quick: $(VOFILES:.vo=.vio)
+
+vio2vo:
+	$(COQC) $(COQDEBUG) $(COQFLAGS) -schedule-vio2vo $(J) $(VOFILES:%.vo=%.vio)
+checkproofs:
+	$(COQC) $(COQDEBUG) $(COQFLAGS) -schedule-vio-checking $(J) $(VOFILES:%.vo=%.vio)
+gallina: $(GFILES)
+
+html: $(GLOBFILES) $(VFILES)
+	- mkdir -p html
+	$(COQDOC) -toc $(COQDOCFLAGS) -html $(COQDOCLIBS) -d html $(VFILES)
+
+gallinahtml: $(GLOBFILES) $(VFILES)
+	- mkdir -p html
+	$(COQDOC) -toc $(COQDOCFLAGS) -html -g $(COQDOCLIBS) -d html $(VFILES)
+
+all.ps: $(VFILES)
+	$(COQDOC) -toc $(COQDOCFLAGS) -ps $(COQDOCLIBS) -o $@ `$(COQDEP) -sort -suffix .v $^`
+
+all-gal.ps: $(VFILES)
+	$(COQDOC) -toc $(COQDOCFLAGS) -ps -g $(COQDOCLIBS) -o $@ `$(COQDEP) -sort -suffix .v $^`
+
+all.pdf: $(VFILES)
+	$(COQDOC) -toc $(COQDOCFLAGS) -pdf $(COQDOCLIBS) -o $@ `$(COQDEP) -sort -suffix .v $^`
+
+all-gal.pdf: $(VFILES)
+	$(COQDOC) -toc $(COQDOCFLAGS) -pdf -g $(COQDOCLIBS) -o $@ `$(COQDEP) -sort -suffix .v $^`
+
+validate: $(VOFILES)
+	$(COQCHK) $(COQCHKFLAGS) $(COQCHKLIBS) $(notdir $(^:.vo=))
+
+beautify: $(VFILES:=.beautified)
+	for file in $^; do mv $${file%.beautified} $${file%beautified}old && mv $${file} $${file%.beautified}; done
+	@echo 'Do not do "make clean" until you are sure that everything went well!'
+	@echo 'If there were a problem, execute "for file in $$(find . -name \*.v.old -print); do mv $${file} $${file%.old}; done" in your shell/'
+
+.PHONY: all archclean beautify byte clean cleanall gallina gallinahtml html install install-doc install-natdynlink install-toploop opt printenv quick uninstall userinstall validate vio2vo
+
+####################
+#                  #
+# Special targets. #
+#                  #
+####################
+
+byte:
+	$(MAKE) all "OPT:=-byte"
+
+opt:
+	$(MAKE) all "OPT:=-opt"
+
+userinstall:
+	+$(MAKE) USERINSTALL=true install
+
+install:
+	cd "." && for i in $(VOFILES) $(VFILES) $(GLOBFILES) $(NATIVEFILES) $(CMOFILES) $(CMIFILES) $(CMAFILES); do \
+	 install -d "`dirname "$(DSTROOT)"$(COQLIBINSTALL)//$$i`"; \
+	 install -m 0644 $$i "$(DSTROOT)"$(COQLIBINSTALL)//$$i; \
+	done
+
+install-doc:
+	install -d "$(DSTROOT)"$(COQDOCINSTALL)/$(INSTALLDEFAULTROOT)/html
+	for i in html/*; do \
+	 install -m 0644 $$i "$(DSTROOT)"$(COQDOCINSTALL)/$(INSTALLDEFAULTROOT)/$$i;\
+	done
+
+uninstall_me.sh: Makefile
+	echo '#!/bin/sh' > $@
+	printf 'cd "$${DSTROOT}"$(COQLIBINSTALL)/ && rm -f $(VOFILES) $(VFILES) $(GLOBFILES) $(NATIVEFILES) $(CMOFILES) $(CMIFILES) $(CMAFILES) && find . -type d -and -empty -delete\ncd "$${DSTROOT}"$(COQLIBINSTALL) && find "" -maxdepth 0 -and -empty -exec rmdir -p \{\} \;\n' >> "$@"
+	printf 'cd "$${DSTROOT}"$(COQDOCINSTALL)/$(INSTALLDEFAULTROOT) \\\n' >> "$@"
+	printf '&& rm -f $(shell find "html" -maxdepth 1 -and -type f -print)\n' >> "$@"
+	printf 'cd "$${DSTROOT}"$(COQDOCINSTALL) && find $(INSTALLDEFAULTROOT)/html -maxdepth 0 -and -empty -exec rmdir -p \{\} \;\n' >> "$@"
+	chmod +x $@
+
+uninstall: uninstall_me.sh
+	sh $<
+
+.merlin:
+	@echo 'FLG -rectypes' > .merlin
+	@echo "B $(COQLIB)kernel" >> .merlin
+	@echo "B $(COQLIB)lib" >> .merlin
+	@echo "B $(COQLIB)library" >> .merlin
+	@echo "B $(COQLIB)parsing" >> .merlin
+	@echo "B $(COQLIB)pretyping" >> .merlin
+	@echo "B $(COQLIB)interp" >> .merlin
+	@echo "B $(COQLIB)printing" >> .merlin
+	@echo "B $(COQLIB)intf" >> .merlin
+	@echo "B $(COQLIB)proofs" >> .merlin
+	@echo "B $(COQLIB)tactics" >> .merlin
+	@echo "B $(COQLIB)tools" >> .merlin
+	@echo "B $(COQLIB)ltacprof" >> .merlin
+	@echo "B $(COQLIB)toplevel" >> .merlin
+	@echo "B $(COQLIB)stm" >> .merlin
+	@echo "B $(COQLIB)grammar" >> .merlin
+	@echo "B $(COQLIB)config" >> .merlin
+	@echo "B $(COQLIB)ltac" >> .merlin
+	@echo "B $(COQLIB)engine" >> .merlin
+
+clean::
+	rm -f $(OBJFILES) $(OBJFILES:.o=.native) $(NATIVEFILES)
+	find . -name .coq-native -type d -empty -delete
+	rm -f $(VOFILES) $(VOFILES:.vo=.vio) $(GFILES) $(VFILES:.v=.v.d) $(VFILES:=.beautified) $(VFILES:=.old)
+	rm -f all.ps all-gal.ps all.pdf all-gal.pdf all.glob $(VFILES:.v=.glob) $(VFILES:.v=.tex) $(VFILES:.v=.g.tex) all-mli.tex
+	- rm -rf html mlihtml uninstall_me.sh
+
+cleanall:: clean
+	rm -f $(patsubst %.v,.%.aux,$(VFILES))
+
+archclean::
+	rm -f *.cmx *.o
+
+printenv:
+	@"$(COQBIN)coqtop" -config
+	@echo 'OCAMLFIND =	$(OCAMLFIND)'
+	@echo 'PP =	$(PP)'
+	@echo 'COQFLAGS =	$(COQFLAGS)'
+	@echo 'COQLIBINSTALL =	$(COQLIBINSTALL)'
+	@echo 'COQDOCINSTALL =	$(COQDOCINSTALL)'
+
+Makefile: _CoqProject
+	mv -f $@ $@.bak
+	"$(COQBIN)coq_makefile" -f $< -o $@
+
+
+###################
+#                 #
+# Implicit rules. #
+#                 #
+###################
+
+$(VOFILES): %.vo: %.v
+	$(SHOW)COQC $<
+	$(HIDE)$(COQC) $(COQDEBUG) $(COQFLAGS) $<
+
+$(GLOBFILES): %.glob: %.v
+	$(COQC) $(COQDEBUG) $(COQFLAGS) $<
+
+$(VFILES:.v=.vio): %.vio: %.v
+	$(COQC) -quick $(COQDEBUG) $(COQFLAGS) $<
+
+$(GFILES): %.g: %.v
+	$(GALLINA) $<
+
+$(VFILES:.v=.tex): %.tex: %.v
+	$(COQDOC) $(COQDOCFLAGS) -latex $< -o $@
+
+$(HTMLFILES): %.html: %.v %.glob
+	$(COQDOC) $(COQDOCFLAGS) -html $< -o $@
+
+$(VFILES:.v=.g.tex): %.g.tex: %.v
+	$(COQDOC) $(COQDOCFLAGS) -latex -g $< -o $@
+
+$(GHTMLFILES): %.g.html: %.v %.glob
+	$(COQDOC) $(COQDOCFLAGS)  -html -g $< -o $@
+
+$(addsuffix .d,$(VFILES)): %.v.d: %.v
+	$(SHOW)'COQDEP $<'
+	$(HIDE)$(COQDEP) $(COQLIBS) "$<" > "$@" || ( RV=$$?; rm -f "$@"; exit $${RV} )
+
+$(addsuffix .beautified,$(VFILES)): %.v.beautified:
+	$(COQC) $(COQDEBUG) $(COQFLAGS) -beautify $*.v
+
+# WARNING
+#
+# This Makefile has been automagically generated
+# Edit at your own risks !
+#
+# END OF WARNING
+
diff --git a/_CoqProject b/_CoqProject
new file mode 100644
index 0000000..bba943f
--- /dev/null
+++ b/_CoqProject
@@ -0,0 +1,6 @@
+-R . "" COQC = hoqc COQDEP = hoqdep
+
+Mod2.v
+FinSets.v
+Expressions.v
+Integers.v
\ No newline at end of file