diff --git a/.gitignore b/.gitignore
index 5c8d7df69f4cdebd50d10feed09505d8dd93b44d..bfd0941de270424fc4efa0ae01ac97992a86ca9d 100644
--- a/.gitignore
+++ b/.gitignore
@@ -14,7 +14,7 @@
 *.bak
 .coqdeps.d
 .coq-native/
-build-dep/
+builddep/
 Makefile.coq
 Makefile.coq.conf
 *.crashcoqide
diff --git a/Makefile b/Makefile
index 163ff30fbfb4a5d31365afc12ac48aa56b027ef0..69d14288dd6d7d893f0bdf09882ec59a98f66e97 100644
--- a/Makefile
+++ b/Makefile
@@ -1,18 +1,22 @@
+# Default target
+all: Makefile.coq
+	+@make -f Makefile.coq all
+.PHONY: all
+
 # Permit local customization
 -include Makefile.local
 
 # Forward most targets to Coq makefile (with some trick to make this phony)
 %: Makefile.coq phony
+	@#echo "Forwarding $@"
 	+@make -f Makefile.coq $@
-
-all: Makefile.coq
-	+@make -f Makefile.coq all
-.PHONY: all
+phony: ;
+.PHONY: phony
 
 clean: Makefile.coq
 	+@make -f Makefile.coq clean
 	find theories tests exercises solutions \( -name "*.d" -o -name "*.vo" -o -name "*.vo[sk]" -o -name "*.aux" -o -name "*.cache" -o -name "*.glob" -o -name "*.vio" \) -print -delete || true
-	rm -f Makefile.coq .lia.cache
+	rm -f Makefile.coq .lia.cache builddep/*
 .PHONY: clean
 
 # Create Coq Makefile.
@@ -20,27 +24,31 @@ Makefile.coq: _CoqProject Makefile
 	"$(COQBIN)coq_makefile" -f _CoqProject -o Makefile.coq $(EXTRA_COQFILES)
 
 # Install build-dependencies
-build-dep/opam: opam Makefile
-	@echo "# Creating build-dep package."
-	@mkdir -p build-dep
-	@sed <opam -E 's/^(build|install|remove):.*/\1: []/; s/^name: *"(.*)" */name: "\1-builddep"/' >build-dep/opam
-	@fgrep builddep build-dep/opam >/dev/null || (echo "sed failed to fix the package name" && exit 1) # sanity check
+OPAMFILES=$(wildcard *.opam)
+BUILDDEPFILES=$(addsuffix -builddep.opam, $(addprefix builddep/,$(basename $(OPAMFILES))))
+
+builddep/%-builddep.opam: %.opam Makefile
+	@echo "# Creating builddep package for $<."
+	@mkdir -p builddep
+	@sed <$< -E 's/^(build|install|remove):.*/\1: []/; s/"(.*)"(.*= *version.*)$$/"\1-builddep"\2/;' >$@
 
-build-dep: build-dep/opam phony
+builddep-opamfiles: $(BUILDDEPFILES)
+.PHONY: builddep-opamfiles
+
+builddep: builddep-opamfiles
 	@# We want opam to not just instal the build-deps now, but to also keep satisfying these
 	@# constraints.  Otherwise, `opam upgrade` may well update some packages to versions
 	@# that are incompatible with our build requirements.
 	@# To achieve this, we create a fake opam package that has our build-dependencies as
 	@# dependencies, but does not actually install anything itself.
-	@echo "# Installing build-dep package."
-	@opam install $(OPAMFLAGS) build-dep/
+	@echo "# Installing builddep packages."
+	@opam install $(OPAMFLAGS) $(BUILDDEPFILES)
+.PHONY: builddep
 
-# Some files that do *not* need to be forwarded to Makefile.coq
-Makefile: ;
-_CoqProject: ;
-opam: ;
-Makefile.local: ;
+# Backwards compatibility target
+build-dep: builddep
+.PHONY: build-dep
 
-# Phony wildcard targets
-phony: ;
-.PHONY: phony
+# Some files that do *not* need to be forwarded to Makefile.coq.
+# ("::" lets Makefile.local overwrite this.)
+Makefile Makefile.local _CoqProject $(OPAMFILES):: ;
diff --git a/opam b/coq-iris.opam
similarity index 97%
rename from opam
rename to coq-iris.opam
index d8d6d73dc823ce951b7a8fb2a35b3a3ed17b2dbc..87e22af29c7560d9c7bc8d74be5940e9a1dff622 100644
--- a/opam
+++ b/coq-iris.opam
@@ -1,5 +1,4 @@
 opam-version: "2.0"
-name: "coq-iris"
 maintainer: "Ralf Jung <jung@mpi-sws.org>"
 authors: "The Iris Team"
 license: "BSD-3-Clause"