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authorPav Lucistnik <pav@FreeBSD.org>2004-10-16 00:55:32 +0000
committerPav Lucistnik <pav@FreeBSD.org>2004-10-16 00:55:32 +0000
commit253ba3b3b5d4066bd0af4ba9588311c2bb0bbd06 (patch)
treef6a8a4dd02e6081f9f909a1a73ea69bddfd6d55f
parentTypo: It's the PVR-250/350 and not the PVR-250/260 card. (diff)
Add coq, a formal proof management system: a proof done with Coq is
mechanically checked by the machine. In particular, Coq allows: * the definition of functions or predicates, * to state mathematical theorems and software specifications, * to develop interactively formal proofs of these theorems, * to check these proofs by a small certification "kernel". PR: ports/72718 Submitted by: Rene Ladan <r.c.ladan@student.tue.nl>
-rw-r--r--math/Makefile1
-rw-r--r--math/coq/Makefile46
-rw-r--r--math/coq/distinfo4
-rw-r--r--math/coq/pkg-descr23
-rw-r--r--math/coq/pkg-plist524
5 files changed, 598 insertions, 0 deletions
diff --git a/math/Makefile b/math/Makefile
index 9d64e6438405..78dafd9e0caa 100644
--- a/math/Makefile
+++ b/math/Makefile
@@ -28,6 +28,7 @@
SUBDIR += cln
SUBDIR += concorde
SUBDIR += convertall
+ SUBDIR += coq
SUBDIR += cxsc
SUBDIR += dcdflib
SUBDIR += diehard
diff --git a/math/coq/Makefile b/math/coq/Makefile
new file mode 100644
index 000000000000..4219e9197363
--- /dev/null
+++ b/math/coq/Makefile
@@ -0,0 +1,46 @@
+# New ports collection makefile for: coq
+# Date created: 2004-10-11
+# Whom: Rene Ladan <r.c.ladan@student.tue.nl>
+#
+# $FreeBSD$
+#
+
+PORTNAME= coq
+PORTVERSION= 8.0
+CATEGORIES= math
+MASTER_SITES= ftp://ftp.inria.fr/INRIA/coq/V8.0pl1/
+DISTNAME= coq-8.0pl1
+
+PATCH_SITES= ${MASTER_SITES}
+#Ports has Ocaml 3.08.1 :
+PATCHFILES= patch-coq-8.0pl1-ocaml-3.08.1
+
+MAINTAINER= r.c.ladan@student.tue.nl
+COMMENT= Theorem prover based on lambda-C
+
+BUILD_DEPENDS= ocamlc:${PORTSDIR}/lang/ocaml
+
+USE_GMAKE= yes
+
+HAS_CONFIGURE= yes
+CONFIGURE_ARGS= --prefix ${PREFIX}
+CONFIGURE_ARGS+= --emacslib ${PREFIX}/share/emacs/site-lisp
+CONFIGURE_ARGS+= --reals all
+CONFIGURE_ARGS+= --opt
+
+ALL_TARGET= world
+#no lablgl2 in ports yet
+
+MAN1= coq-interface.1 coq-tex.1 coq_makefile.1 coqc.1 coqdep.1 \
+ coqdoc.1 coqmktop.1 coqtop.1 coqtop.byte.1 coqtop.opt.1 \
+ coqwc.1 parser.1 gallina.1
+
+post-install:
+.if !defined(NOPORTDOCS)
+ -@${MKDIR} ${DOCSDIR}
+.for i in CHANGES COPYRIGHT CREDITS INSTALL LICENSE README
+ @${INSTALL_DATA} ${WRKSRC}/${i} ${DOCSDIR}
+.endfor
+.endif
+
+.include <bsd.port.mk>
diff --git a/math/coq/distinfo b/math/coq/distinfo
new file mode 100644
index 000000000000..250d5e8b0910
--- /dev/null
+++ b/math/coq/distinfo
@@ -0,0 +1,4 @@
+MD5 (coq-8.0pl1.tar.gz) = 95237e64081d7306fdea49e1988bde12
+SIZE (coq-8.0pl1.tar.gz) = 2272613
+MD5 (patch-coq-8.0pl1-ocaml-3.08.1) = 02ac210c6af5d8e258a2805a22822a8b
+SIZE (patch-coq-8.0pl1-ocaml-3.08.1) = 1321
diff --git a/math/coq/pkg-descr b/math/coq/pkg-descr
new file mode 100644
index 000000000000..affc11f587fe
--- /dev/null
+++ b/math/coq/pkg-descr
@@ -0,0 +1,23 @@
+From the website:
+
+Developed in the LogiCal project, the Coq tool is a formal proof
+management system: a proof done with Coq is mechanically checked
+by the machine.
+
+In particular, Coq allows:
+* the definition of functions or predicates,
+* to state mathematical theorems and software specifications,
+* to develop interactively formal proofs of these theorems,
+* to check these proofs by a small certification "kernel".
+
+Coq is based on a logical framework called "Calculus of Inductive
+Constructions" extended by a modular development system for
+theories.
+
+Coq is distributed under the GNU Lesser General Public Licence
+Version 2.1 (LGPL).
+
+CoqIde is not yet available in this port.
+
+Author: Rene Ladan <r.c.ladan@student.tue.nl>
+WWW: http://coq.inria.fr/
diff --git a/math/coq/pkg-plist b/math/coq/pkg-plist
new file mode 100644
index 000000000000..759bf9ca6b78
--- /dev/null
+++ b/math/coq/pkg-plist
@@ -0,0 +1,524 @@
+@comment $FreeBSD$
+bin/coq-interface
+bin/coq-interface.opt
+bin/coq-tex
+bin/coq_makefile
+bin/coqc
+bin/coqdep
+bin/coqdoc
+bin/coqmktop
+bin/coqtop
+bin/coqtop.byte
+bin/coqtop.opt
+bin/coqwc
+bin/gallina
+bin/parser
+bin/parser.opt
+lib/coq/contrib/cc/CCSolve.vo
+lib/coq/contrib/field/Field.vo
+lib/coq/contrib/field/Field_Compl.vo
+lib/coq/contrib/field/Field_Tactic.vo
+lib/coq/contrib/field/Field_Theory.vo
+lib/coq/contrib/fourier/Fourier.vo
+lib/coq/contrib/fourier/Fourier_util.vo
+lib/coq/contrib/interface/vernacrc
+lib/coq/contrib/omega/Omega.vo
+lib/coq/contrib/omega/OmegaLemmas.vo
+lib/coq/contrib/ring/ArithRing.vo
+lib/coq/contrib/ring/NArithRing.vo
+lib/coq/contrib/ring/Quote.vo
+lib/coq/contrib/ring/Ring.vo
+lib/coq/contrib/ring/Ring_abstract.vo
+lib/coq/contrib/ring/Ring_normalize.vo
+lib/coq/contrib/ring/Ring_theory.vo
+lib/coq/contrib/ring/Setoid_ring.vo
+lib/coq/contrib/ring/Setoid_ring_normalize.vo
+lib/coq/contrib/ring/Setoid_ring_theory.vo
+lib/coq/contrib/ring/ZArithRing.vo
+lib/coq/contrib/romega/ROmega.vo
+lib/coq/contrib/romega/ReflOmegaCore.vo
+lib/coq/contrib7/cc/CCSolve.vo
+lib/coq/contrib7/field/Field.vo
+lib/coq/contrib7/field/Field_Compl.vo
+lib/coq/contrib7/field/Field_Tactic.vo
+lib/coq/contrib7/field/Field_Theory.vo
+lib/coq/contrib7/fourier/Fourier.vo
+lib/coq/contrib7/fourier/Fourier_util.vo
+lib/coq/contrib7/omega/Omega.vo
+lib/coq/contrib7/omega/OmegaLemmas.vo
+lib/coq/contrib7/ring/ArithRing.vo
+lib/coq/contrib7/ring/NArithRing.vo
+lib/coq/contrib7/ring/Quote.vo
+lib/coq/contrib7/ring/Ring.vo
+lib/coq/contrib7/ring/Ring_abstract.vo
+lib/coq/contrib7/ring/Ring_normalize.vo
+lib/coq/contrib7/ring/Ring_theory.vo
+lib/coq/contrib7/ring/Setoid_ring.vo
+lib/coq/contrib7/ring/Setoid_ring_normalize.vo
+lib/coq/contrib7/ring/Setoid_ring_theory.vo
+lib/coq/contrib7/ring/ZArithRing.vo
+lib/coq/contrib7/romega/ROmega.vo
+lib/coq/contrib7/romega/ReflOmegaCore.vo
+lib/coq/ide/.coqide-gtk2rc
+lib/coq/ide/FAQ
+lib/coq/ide/coq.png
+lib/coq/ide/utf8.v
+lib/coq/ide/utf8.vo
+lib/coq/states/initial.coq
+lib/coq/states7/barestate.coq
+lib/coq/states7/initial.coq
+lib/coq/theories/Arith/Arith.vo
+lib/coq/theories/Arith/Between.vo
+lib/coq/theories/Arith/Bool_nat.vo
+lib/coq/theories/Arith/Compare.vo
+lib/coq/theories/Arith/Compare_dec.vo
+lib/coq/theories/Arith/Div2.vo
+lib/coq/theories/Arith/EqNat.vo
+lib/coq/theories/Arith/Euclid.vo
+lib/coq/theories/Arith/Even.vo
+lib/coq/theories/Arith/Factorial.vo
+lib/coq/theories/Arith/Gt.vo
+lib/coq/theories/Arith/Le.vo
+lib/coq/theories/Arith/Lt.vo
+lib/coq/theories/Arith/Max.vo
+lib/coq/theories/Arith/Min.vo
+lib/coq/theories/Arith/Minus.vo
+lib/coq/theories/Arith/Mult.vo
+lib/coq/theories/Arith/Peano_dec.vo
+lib/coq/theories/Arith/Plus.vo
+lib/coq/theories/Arith/Wf_nat.vo
+lib/coq/theories/Bool/Bool.vo
+lib/coq/theories/Bool/BoolEq.vo
+lib/coq/theories/Bool/Bvector.vo
+lib/coq/theories/Bool/DecBool.vo
+lib/coq/theories/Bool/IfProp.vo
+lib/coq/theories/Bool/Sumbool.vo
+lib/coq/theories/Bool/Zerob.vo
+lib/coq/theories/Init/Datatypes.vo
+lib/coq/theories/Init/Logic.vo
+lib/coq/theories/Init/Logic_Type.vo
+lib/coq/theories/Init/Notations.vo
+lib/coq/theories/Init/Peano.vo
+lib/coq/theories/Init/Prelude.vo
+lib/coq/theories/Init/Specif.vo
+lib/coq/theories/Init/Wf.vo
+lib/coq/theories/IntMap/Adalloc.vo
+lib/coq/theories/IntMap/Addec.vo
+lib/coq/theories/IntMap/Addr.vo
+lib/coq/theories/IntMap/Adist.vo
+lib/coq/theories/IntMap/Allmaps.vo
+lib/coq/theories/IntMap/Fset.vo
+lib/coq/theories/IntMap/Lsort.vo
+lib/coq/theories/IntMap/Map.vo
+lib/coq/theories/IntMap/Mapaxioms.vo
+lib/coq/theories/IntMap/Mapc.vo
+lib/coq/theories/IntMap/Mapcanon.vo
+lib/coq/theories/IntMap/Mapcard.vo
+lib/coq/theories/IntMap/Mapfold.vo
+lib/coq/theories/IntMap/Mapiter.vo
+lib/coq/theories/IntMap/Maplists.vo
+lib/coq/theories/IntMap/Mapsubset.vo
+lib/coq/theories/Lists/List.vo
+lib/coq/theories/Lists/ListSet.vo
+lib/coq/theories/Lists/MonoList.vo
+lib/coq/theories/Lists/Streams.vo
+lib/coq/theories/Lists/TheoryList.vo
+lib/coq/theories/Logic/Berardi.vo
+lib/coq/theories/Logic/ChoiceFacts.vo
+lib/coq/theories/Logic/Classical.vo
+lib/coq/theories/Logic/ClassicalChoice.vo
+lib/coq/theories/Logic/ClassicalDescription.vo
+lib/coq/theories/Logic/ClassicalFacts.vo
+lib/coq/theories/Logic/Classical_Pred_Set.vo
+lib/coq/theories/Logic/Classical_Pred_Type.vo
+lib/coq/theories/Logic/Classical_Prop.vo
+lib/coq/theories/Logic/Classical_Type.vo
+lib/coq/theories/Logic/Decidable.vo
+lib/coq/theories/Logic/Diaconescu.vo
+lib/coq/theories/Logic/Eqdep.vo
+lib/coq/theories/Logic/Eqdep_dec.vo
+lib/coq/theories/Logic/Hurkens.vo
+lib/coq/theories/Logic/JMeq.vo
+lib/coq/theories/Logic/ProofIrrelevance.vo
+lib/coq/theories/Logic/RelationalChoice.vo
+lib/coq/theories/NArith/BinNat.vo
+lib/coq/theories/NArith/BinPos.vo
+lib/coq/theories/NArith/NArith.vo
+lib/coq/theories/NArith/Pnat.vo
+lib/coq/theories/Reals/Alembert.vo
+lib/coq/theories/Reals/AltSeries.vo
+lib/coq/theories/Reals/ArithProp.vo
+lib/coq/theories/Reals/Binomial.vo
+lib/coq/theories/Reals/Cauchy_prod.vo
+lib/coq/theories/Reals/Cos_plus.vo
+lib/coq/theories/Reals/Cos_rel.vo
+lib/coq/theories/Reals/DiscrR.vo
+lib/coq/theories/Reals/Exp_prop.vo
+lib/coq/theories/Reals/Integration.vo
+lib/coq/theories/Reals/MVT.vo
+lib/coq/theories/Reals/NewtonInt.vo
+lib/coq/theories/Reals/PSeries_reg.vo
+lib/coq/theories/Reals/PartSum.vo
+lib/coq/theories/Reals/RIneq.vo
+lib/coq/theories/Reals/RList.vo
+lib/coq/theories/Reals/R_Ifp.vo
+lib/coq/theories/Reals/R_sqr.vo
+lib/coq/theories/Reals/R_sqrt.vo
+lib/coq/theories/Reals/Ranalysis.vo
+lib/coq/theories/Reals/Ranalysis1.vo
+lib/coq/theories/Reals/Ranalysis2.vo
+lib/coq/theories/Reals/Ranalysis3.vo
+lib/coq/theories/Reals/Ranalysis4.vo
+lib/coq/theories/Reals/Raxioms.vo
+lib/coq/theories/Reals/Rbase.vo
+lib/coq/theories/Reals/Rbasic_fun.vo
+lib/coq/theories/Reals/Rcomplete.vo
+lib/coq/theories/Reals/Rdefinitions.vo
+lib/coq/theories/Reals/Rderiv.vo
+lib/coq/theories/Reals/Reals.vo
+lib/coq/theories/Reals/Rfunctions.vo
+lib/coq/theories/Reals/Rgeom.vo
+lib/coq/theories/Reals/RiemannInt.vo
+lib/coq/theories/Reals/RiemannInt_SF.vo
+lib/coq/theories/Reals/Rlimit.vo
+lib/coq/theories/Reals/Rpower.vo
+lib/coq/theories/Reals/Rprod.vo
+lib/coq/theories/Reals/Rseries.vo
+lib/coq/theories/Reals/Rsigma.vo
+lib/coq/theories/Reals/Rsqrt_def.vo
+lib/coq/theories/Reals/Rtopology.vo
+lib/coq/theories/Reals/Rtrigo.vo
+lib/coq/theories/Reals/Rtrigo_alt.vo
+lib/coq/theories/Reals/Rtrigo_calc.vo
+lib/coq/theories/Reals/Rtrigo_def.vo
+lib/coq/theories/Reals/Rtrigo_fun.vo
+lib/coq/theories/Reals/Rtrigo_reg.vo
+lib/coq/theories/Reals/SeqProp.vo
+lib/coq/theories/Reals/SeqSeries.vo
+lib/coq/theories/Reals/SplitAbsolu.vo
+lib/coq/theories/Reals/SplitRmult.vo
+lib/coq/theories/Reals/Sqrt_reg.vo
+lib/coq/theories/Relations/Newman.vo
+lib/coq/theories/Relations/Operators_Properties.vo
+lib/coq/theories/Relations/Relation_Definitions.vo
+lib/coq/theories/Relations/Relation_Operators.vo
+lib/coq/theories/Relations/Relations.vo
+lib/coq/theories/Relations/Rstar.vo
+lib/coq/theories/Setoids/Setoid.vo
+lib/coq/theories/Sets/Classical_sets.vo
+lib/coq/theories/Sets/Constructive_sets.vo
+lib/coq/theories/Sets/Cpo.vo
+lib/coq/theories/Sets/Ensembles.vo
+lib/coq/theories/Sets/Finite_sets.vo
+lib/coq/theories/Sets/Finite_sets_facts.vo
+lib/coq/theories/Sets/Image.vo
+lib/coq/theories/Sets/Infinite_sets.vo
+lib/coq/theories/Sets/Integers.vo
+lib/coq/theories/Sets/Multiset.vo
+lib/coq/theories/Sets/Partial_Order.vo
+lib/coq/theories/Sets/Permut.vo
+lib/coq/theories/Sets/Powerset.vo
+lib/coq/theories/Sets/Powerset_Classical_facts.vo
+lib/coq/theories/Sets/Powerset_facts.vo
+lib/coq/theories/Sets/Relations_1.vo
+lib/coq/theories/Sets/Relations_1_facts.vo
+lib/coq/theories/Sets/Relations_2.vo
+lib/coq/theories/Sets/Relations_2_facts.vo
+lib/coq/theories/Sets/Relations_3.vo
+lib/coq/theories/Sets/Relations_3_facts.vo
+lib/coq/theories/Sets/Uniset.vo
+lib/coq/theories/Sorting/Heap.vo
+lib/coq/theories/Sorting/Permutation.vo
+lib/coq/theories/Sorting/Sorting.vo
+lib/coq/theories/Wellfounded/Disjoint_Union.vo
+lib/coq/theories/Wellfounded/Inclusion.vo
+lib/coq/theories/Wellfounded/Inverse_Image.vo
+lib/coq/theories/Wellfounded/Lexicographic_Exponentiation.vo
+lib/coq/theories/Wellfounded/Lexicographic_Product.vo
+lib/coq/theories/Wellfounded/Transitive_Closure.vo
+lib/coq/theories/Wellfounded/Union.vo
+lib/coq/theories/Wellfounded/Well_Ordering.vo
+lib/coq/theories/Wellfounded/Wellfounded.vo
+lib/coq/theories/ZArith/BinInt.vo
+lib/coq/theories/ZArith/Wf_Z.vo
+lib/coq/theories/ZArith/ZArith.vo
+lib/coq/theories/ZArith/ZArith_base.vo
+lib/coq/theories/ZArith/ZArith_dec.vo
+lib/coq/theories/ZArith/Zabs.vo
+lib/coq/theories/ZArith/Zbinary.vo
+lib/coq/theories/ZArith/Zbool.vo
+lib/coq/theories/ZArith/Zcompare.vo
+lib/coq/theories/ZArith/Zcomplements.vo
+lib/coq/theories/ZArith/Zdiv.vo
+lib/coq/theories/ZArith/Zeven.vo
+lib/coq/theories/ZArith/Zhints.vo
+lib/coq/theories/ZArith/Zlogarithm.vo
+lib/coq/theories/ZArith/Zmin.vo
+lib/coq/theories/ZArith/Zmisc.vo
+lib/coq/theories/ZArith/Znat.vo
+lib/coq/theories/ZArith/Znumtheory.vo
+lib/coq/theories/ZArith/Zorder.vo
+lib/coq/theories/ZArith/Zpower.vo
+lib/coq/theories/ZArith/Zsqrt.vo
+lib/coq/theories/ZArith/Zwf.vo
+lib/coq/theories/ZArith/auxiliary.vo
+lib/coq/theories7/Arith/Arith.vo
+lib/coq/theories7/Arith/Between.vo
+lib/coq/theories7/Arith/Bool_nat.vo
+lib/coq/theories7/Arith/Compare.vo
+lib/coq/theories7/Arith/Compare_dec.vo
+lib/coq/theories7/Arith/Div2.vo
+lib/coq/theories7/Arith/EqNat.vo
+lib/coq/theories7/Arith/Euclid.vo
+lib/coq/theories7/Arith/Even.vo
+lib/coq/theories7/Arith/Factorial.vo
+lib/coq/theories7/Arith/Gt.vo
+lib/coq/theories7/Arith/Le.vo
+lib/coq/theories7/Arith/Lt.vo
+lib/coq/theories7/Arith/Max.vo
+lib/coq/theories7/Arith/Min.vo
+lib/coq/theories7/Arith/Minus.vo
+lib/coq/theories7/Arith/Mult.vo
+lib/coq/theories7/Arith/Peano_dec.vo
+lib/coq/theories7/Arith/Plus.vo
+lib/coq/theories7/Arith/Wf_nat.vo
+lib/coq/theories7/Bool/Bool.vo
+lib/coq/theories7/Bool/BoolEq.vo
+lib/coq/theories7/Bool/Bvector.vo
+lib/coq/theories7/Bool/DecBool.vo
+lib/coq/theories7/Bool/IfProp.vo
+lib/coq/theories7/Bool/Sumbool.vo
+lib/coq/theories7/Bool/Zerob.vo
+lib/coq/theories7/Init/Datatypes.vo
+lib/coq/theories7/Init/Logic.vo
+lib/coq/theories7/Init/Logic_Type.vo
+lib/coq/theories7/Init/Notations.vo
+lib/coq/theories7/Init/Peano.vo
+lib/coq/theories7/Init/Prelude.vo
+lib/coq/theories7/Init/Specif.vo
+lib/coq/theories7/Init/Wf.vo
+lib/coq/theories7/IntMap/Adalloc.vo
+lib/coq/theories7/IntMap/Addec.vo
+lib/coq/theories7/IntMap/Addr.vo
+lib/coq/theories7/IntMap/Adist.vo
+lib/coq/theories7/IntMap/Allmaps.vo
+lib/coq/theories7/IntMap/Fset.vo
+lib/coq/theories7/IntMap/Lsort.vo
+lib/coq/theories7/IntMap/Map.vo
+lib/coq/theories7/IntMap/Mapaxioms.vo
+lib/coq/theories7/IntMap/Mapc.vo
+lib/coq/theories7/IntMap/Mapcanon.vo
+lib/coq/theories7/IntMap/Mapcard.vo
+lib/coq/theories7/IntMap/Mapfold.vo
+lib/coq/theories7/IntMap/Mapiter.vo
+lib/coq/theories7/IntMap/Maplists.vo
+lib/coq/theories7/IntMap/Mapsubset.vo
+lib/coq/theories7/Lists/List.vo
+lib/coq/theories7/Lists/ListSet.vo
+lib/coq/theories7/Lists/MonoList.vo
+lib/coq/theories7/Lists/PolyList.vo
+lib/coq/theories7/Lists/PolyListSyntax.vo
+lib/coq/theories7/Lists/Streams.vo
+lib/coq/theories7/Lists/TheoryList.vo
+lib/coq/theories7/Logic/Berardi.vo
+lib/coq/theories7/Logic/ChoiceFacts.vo
+lib/coq/theories7/Logic/Classical.vo
+lib/coq/theories7/Logic/ClassicalChoice.vo
+lib/coq/theories7/Logic/ClassicalDescription.vo
+lib/coq/theories7/Logic/ClassicalFacts.vo
+lib/coq/theories7/Logic/Classical_Pred_Set.vo
+lib/coq/theories7/Logic/Classical_Pred_Type.vo
+lib/coq/theories7/Logic/Classical_Prop.vo
+lib/coq/theories7/Logic/Classical_Type.vo
+lib/coq/theories7/Logic/Decidable.vo
+lib/coq/theories7/Logic/Diaconescu.vo
+lib/coq/theories7/Logic/Eqdep.vo
+lib/coq/theories7/Logic/Eqdep_dec.vo
+lib/coq/theories7/Logic/Hurkens.vo
+lib/coq/theories7/Logic/JMeq.vo
+lib/coq/theories7/Logic/ProofIrrelevance.vo
+lib/coq/theories7/Logic/RelationalChoice.vo
+lib/coq/theories7/NArith/BinNat.vo
+lib/coq/theories7/NArith/BinPos.vo
+lib/coq/theories7/NArith/NArith.vo
+lib/coq/theories7/NArith/Pnat.vo
+lib/coq/theories7/Reals/Alembert.vo
+lib/coq/theories7/Reals/AltSeries.vo
+lib/coq/theories7/Reals/ArithProp.vo
+lib/coq/theories7/Reals/Binomial.vo
+lib/coq/theories7/Reals/Cauchy_prod.vo
+lib/coq/theories7/Reals/Cos_plus.vo
+lib/coq/theories7/Reals/Cos_rel.vo
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