diff --git a/CHANGELOG.md b/CHANGELOG.md
index 883fcde29ce..74f496eb4b0 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -6,8 +6,8 @@ and this project adheres to [Semantic Versioning](http://semver.org/spec/v2.0.0.
 
 ## [Unreleased]
 ### Added
-- stable rust support
-- Add FFI definition `PyObject_AsFileDescriptor` [#938](https://github.com/PyO3/pyo3/pull/938)
+- Support stable versions of Rust (>=1.39). [#969](https://github.com/PyO3/pyo3/pull/969)
+- Add FFI definition `PyObject_AsFileDescriptor`. [#938](https://github.com/PyO3/pyo3/pull/938)
 - Add `PyByteArray::data`, `PyByteArray::as_bytes`, and `PyByteArray::as_bytes_mut`. [#967](https://github.com/PyO3/pyo3/pull/967)
 - Add `Py::borrow`, `Py::borrow_mut`, `Py::try_borrow`, and `Py::try_borrow_mut` for accessing `#[pyclass]` values. [#976](https://github.com/PyO3/pyo3/pull/976)
 
diff --git a/README.md b/README.md
index faba2e50d8c..8c3e60b81d5 100644
--- a/README.md
+++ b/README.md
@@ -4,7 +4,7 @@
 [![Actions Status](https://github.com/PyO3/pyo3/workflows/Test/badge.svg)](https://github.com/PyO3/pyo3/actions)
 [![codecov](https://codecov.io/gh/PyO3/pyo3/branch/master/graph/badge.svg)](https://codecov.io/gh/PyO3/pyo3)
 [![crates.io](http://meritbadge.herokuapp.com/pyo3)](https://crates.io/crates/pyo3)
-[![minimum rustc 1.42](https://img.shields.io/badge/rustc-1.39+-blue.svg)](https://rust-lang.github.io/rfcs/2495-min-rust-version.html)
+[![minimum rustc 1.39](https://img.shields.io/badge/rustc-1.39+-blue.svg)](https://rust-lang.github.io/rfcs/2495-min-rust-version.html)
 [![Join the dev chat](https://img.shields.io/gitter/room/nwjs/nw.js.svg)](https://gitter.im/PyO3/Lobby)
 
 [Rust](http://www.rust-lang.org/) bindings for [Python](https://www.python.org/). This includes running and interacting with Python code from a Rust binary, as well as writing native Python modules.
diff --git a/guide/src/class.md b/guide/src/class.md
index 391e6e40e4d..a351edfb2a0 100644
--- a/guide/src/class.md
+++ b/guide/src/class.md
@@ -888,12 +888,12 @@ documentation](https://docs.python.org/3/library/stdtypes.html#iterator-types).
 Users should be able to define a `#[pyclass]` with or without `#[pymethods]`, while PyO3 needs a
 trait with a function that returns all methods. Since it's impossible to make the code generation in
 pyclass dependent on whether there is an impl block, we'd need to implement the trait on
-`#[pyclass]` and override the implementation in `#[pymethods]`, which is to the best of my knowledge
-only possible with the specialization feature, which can't be used on stable.
-
-To escape this we use [inventory](https://github.com/dtolnay/inventory),
+`#[pyclass]` and override the implementation in `#[pymethods]`.
+To enable this, we use a static registry type provided by [inventory](https://github.com/dtolnay/inventory),
 which allows us to collect `impl`s from arbitrary source code by exploiting some binary trick.
 See [inventory: how it works](https://github.com/dtolnay/inventory#how-it-works) and `pyo3_derive_backend::py_class` for more details.
+Also for `#[pyproto]`, we use a similar, but more task-specific registry and
+initialize it by [ctor](https://github.com/mmastrac/rust-ctor) crate.
 
 Specifically, the following implementation is generated:
 
diff --git a/guide/src/rust_cpython.md b/guide/src/rust_cpython.md
index 4eb670d2a48..6d14e6c95c5 100644
--- a/guide/src/rust_cpython.md
+++ b/guide/src/rust_cpython.md
@@ -6,7 +6,7 @@ This chapter is based on the discussion in [PyO3/pyo3#55](https://github.com/PyO
 
 ## Macros
 
-While rust-cpython has a macro based dsl for declaring modules and classes, PyO3 uses proc macros and specialization. PyO3 also doesn't change your struct and functions so you can still use them as normal Rust functions.
+While rust-cpython has a macro based dsl for declaring modules and classes, PyO3 uses proc macros. PyO3 also doesn't change your struct and functions so you can still use them as normal Rust functions.
 
 **rust-cpython**
 
diff --git a/tests/test_compile_error.rs b/tests/test_compile_error.rs
index 468fac9037d..465922b59a8 100644
--- a/tests/test_compile_error.rs
+++ b/tests/test_compile_error.rs
@@ -13,8 +13,7 @@ fn test_compile_errors() {
         t.compile_fail("tests/ui/wrong_aspyref_lifetimes.rs");
         t.compile_fail("tests/ui/invalid_pymethod_names.rs");
     }
-
-    #[rustversion::all(since(1.43))]
+    #[rustversion::since(1.43)]
     fn testcase_latest_stable(t: &trybuild::TestCases) {
         t.compile_fail("tests/ui/static_ref.rs");
     }