diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml
index 0cbbea212be93e01cd7b19c94bb019abcd23edf3..a97362bf77310ad877b54c866af8177acea1b2ec 100644
--- a/.gitlab-ci.yml
+++ b/.gitlab-ci.yml
@@ -26,10 +26,10 @@ variables:
   - master
   - /^ci/
 
-build-coq.8.7.0:
+build-coq.8.7.1:
   <<: *template
   variables:
-    OPAM_PINS: "coq version 8.7.0   coq-mathcomp-ssreflect version 1.6.4"
+    OPAM_PINS: "coq version 8.7.1   coq-mathcomp-ssreflect version 1.6.4"
   except:
   - triggers
 
@@ -47,6 +47,6 @@ build-coq.8.6.1:
 build-iris.dev:
   <<: *template
   variables:
-    OPAM_PINS: "coq version 8.7.0   coq-mathcomp-ssreflect version 1.6.4   coq-iris.dev git https://gitlab.mpi-sws.org/FP/iris-coq.git#$IRIS_REV"
+    OPAM_PINS: "coq version 8.7.1   coq-mathcomp-ssreflect version 1.6.4   coq-iris.dev git https://gitlab.mpi-sws.org/FP/iris-coq.git#$IRIS_REV"
   only:
   - triggers
diff --git a/README.md b/README.md
index dc8bd6a3ecea2b4b7df1d5aa76dd482c6e68458f..1418ba0cb94abb9eb0d6095abafc4830b03b3521 100644
--- a/README.md
+++ b/README.md
@@ -6,12 +6,14 @@ This is the Coq development accompanying lambda-Rust.
 
 This version is known to compile with:
 
- - Coq 8.6.1 / 8.7.0
+ - Coq 8.6.1 / 8.7.1
  - Ssreflect 1.6.4
  - A development version of [Iris](https://gitlab.mpi-sws.org/FP/iris-coq/)
 
-The easiest way to install the correct versions of the dependencies is through
-opam (1.2.2 or newer).  You will need the Coq and Iris opam repositories:
+## Building from source
+
+When building from source, we recommend to use opam (1.2.2 or newer) for
+installing the dependencies.  This requires the following two repositories:
 
     opam repo add coq-released https://coq.inria.fr/opam/released
     opam repo add iris-dev https://gitlab.mpi-sws.org/FP/opam-dev.git
@@ -19,17 +21,13 @@ opam (1.2.2 or newer).  You will need the Coq and Iris opam repositories:
 Once you got opam set up, run `make build-dep` to install the right versions
 of the dependencies.
 
-## Updating
-
-After doing `git pull`, the development may fail to compile because of outdated
-dependencies.  To fix that, please run `opam update` followed by
-`make build-dep`.
-
-## Building
-
 Run `make -jN` to build the full development, where `N` is the number of your
 CPU cores.
 
+To update, do `git pull`.  After an update, the development may fail to compile
+because of outdated dependencies.  To fix that, please run `opam update`
+followed by `make build-dep`.
+
 ## Structure
 
 * The folder [lang](theories/lang) contains the formalization of the lambda-Rust