Fix and improve docs (#13620)

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## Summary

I follow the advices from the IDE spell checker and grammar checker, fix
some typos, and improve the docs.

docs/concepts/projects/config.md

@@ -124,7 +124,7 @@ with the default build system.
 Build systems are used to power the following features:
 
 - Including or excluding files from distributions
-- Editable install behavior
+- Editable installation behavior
 - Dynamic project metadata
 - Compilation of native code
 - Vendoring shared libraries

docs/concepts/projects/sync.md

@@ -202,7 +202,7 @@ while building a Docker image. `uv sync` has several flags for this purpose.
 - `--no-install-workspace`: Do not install any workspace members, including the root project
 - `--no-install-package <NO_INSTALL_PACKAGE>`: Do not install the given package(s)
 
-When these options are used, all of the dependencies of the target are still installed. For example,
+When these options are used, all the dependencies of the target are still installed. For example,
 `--no-install-project` will omit the _project_ but not any of its dependencies.
 
 If used improperly, these flags can result in a broken environment since a package can be missing

docs/concepts/projects/workspaces.md

@@ -50,7 +50,7 @@ the workspace context.
 
 Every workspace needs a root, which is _also_ a workspace member. In the above example, `albatross`
 is the workspace root, and the workspace members include all projects under the `packages`
-directory, with the exception of `seeds`.
+directory, except `seeds`.
 
 By default, `uv run` and `uv sync` operates on the workspace root. For example, in the above
 example, `uv run` and `uv run --package albatross` would be equivalent, while

docs/concepts/python-versions.md

@@ -64,8 +64,8 @@ A global `.python-version` file can be created in the user configuration directo
 
 Discovery of `.python-version` files can be disabled with `--no-config`.
 
-uv will not search for `.python-version` files beyond project or workspace boundaries (with the
+uv will not search for `.python-version` files beyond project or workspace boundaries (except the
-exception of the user configuration directory).
+user configuration directory).
 
 ## Installing a Python version
 
@@ -106,13 +106,13 @@ To install a specific implementation:
 $ uv python install pypy
 ```
 
-All of the [Python version request](#requesting-a-version) formats are supported except those that
+All the [Python version request](#requesting-a-version) formats are supported except those that are
-are used for requesting local interpreters such as a file path.
+used for requesting local interpreters such as a file path.
 
 By default `uv python install` will verify that a managed Python version is installed or install the
 latest version. If a `.python-version` file is present, uv will install the Python version listed in
 the file. A project that requires multiple Python versions may define a `.python-versions` file. If
-present, uv will install all of the Python versions listed in the file.
+present, uv will install all the Python versions listed in the file.
 
 !!! important
 
@@ -341,7 +341,7 @@ The implementations may be requested with either the long or short name:
 - PyPy: `pypy`, `pp`
 - GraalPy: `graalpy`, `gp`
 
-Implementation name requests are not case sensitive.
+Implementation name requests are not case-sensitive.
 
 See the [Python version request](#requesting-a-version) documentation for more details on the
 supported formats.

docs/concepts/resolution.md

@@ -300,7 +300,7 @@ If dependency resolution fails due to a transitive pre-release, uv will prompt u
 
 Alternatively, the transitive dependency can be added as a [constraint](#dependency-constraints) or
 direct dependency (i.e. in `requirements.in` or `pyproject.toml`) with a pre-release version
-specifier (e.g., `flask>=2.0.0rc1`) to opt-in to pre-release support for that specific dependency.
+specifier (e.g., `flask>=2.0.0rc1`) to opt in to pre-release support for that specific dependency.
 
 Pre-releases are
 [notoriously difficult](https://pubgrub-rs-guide.netlify.app/limitations/prerelease_versions) to

docs/guides/integration/aws-lambda.md

@@ -256,7 +256,7 @@ For details, see the
 ### Workspace support
 
 If a project includes local dependencies (e.g., via
-[Workspaces](../../concepts/projects/workspaces.md), those too must be included in the deployment
+[Workspaces](../../concepts/projects/workspaces.md)), those too must be included in the deployment
 package.
 
 We'll start by extending the above example to include a dependency on a locally-developed library

docs/guides/integration/docker.md

@@ -530,7 +530,7 @@ REPO          PREDICATE_TYPE                  WORKFLOW
 astral-sh/uv  https://slsa.dev/provenance/v1  .github/workflows/build-docker.yml@refs/heads/main
 ```
 
-This tells you that the specific Docker image was built by the official uv Github release workflow
+This tells you that the specific Docker image was built by the official uv GitHub release workflow
 and hasn't been tampered with since.
 
 GitHub attestations build on the [sigstore.dev infrastructure](https://www.sigstore.dev/). As such

docs/guides/package.md

@@ -93,7 +93,7 @@ explicit = true
 Even though `uv publish` retries failed uploads, it can happen that publishing fails in the middle,
 with some files uploaded and some files still missing. With PyPI, you can retry the exact same
 command, existing identical files will be ignored. With other registries, use
-`--check-url <index url>` with the index URL (not the publish URL) the packages belong to. When
+`--check-url <index url>` with the index URL (not the publishing URL) the packages belong to. When
 using `--index`, the index URL is used as check URL. uv will skip uploading files that are identical
 to files in the registry, and it will also handle raced parallel uploads. Note that existing files
 need to match exactly with those previously uploaded to the registry, this avoids accidentally

docs/guides/tools.md

@@ -239,7 +239,7 @@ $ uv tool upgrade --all
 
 ## Requesting Python versions
 
-By default, uv will use your default Python interpreter (the first it finds) when when running,
+By default, uv will use your default Python interpreter (the first it finds) when running,
 installing, or upgrading tools. You can specify the Python interpreter to use with the `--python`
 option.
 
@@ -262,7 +262,7 @@ $ uv tool upgrade --python 3.10 ruff
 ```
 
 For more details on requesting Python versions, see the
-[Python version](../concepts/python-versions.md#requesting-a-version) concept page..
+[Python version](../concepts/python-versions.md#requesting-a-version) concept page.
 
 ## Legacy Windows Scripts
 

docs/pip/compatibility.md

@@ -400,7 +400,7 @@ the `subprocess` option is supported.
 
 Unlike `pip`, uv does not enable keyring authentication by default.
 
-Unlike `pip`, uv does not wait until a request returns a HTTP 401 before searching for
+Unlike `pip`, uv does not wait until a request returns an HTTP 401 before searching for
 authentication. uv attaches authentication to all requests for hosts with credentials available.
 
 ## `egg` support

docs/pip/inspection.md

@@ -2,7 +2,7 @@
 
 ## Listing installed packages
 
-To list all of the packages in the environment:
+To list all the packages in the environment:
 
 ```console
 $ uv pip list
@@ -14,7 +14,7 @@ To list the packages in a JSON format:
 $ uv pip list --format json
 ```
 
-To list all of the packages in the environment in a `requirements.txt` format:
+To list all the packages in the environment in a `requirements.txt` format:
 
 ```console
 $ uv pip freeze

docs/reference/installer.md

@@ -1,6 +1,6 @@
 # The uv installer
 
-## Changing the install path
+## Changing the installation path
 
 By default, uv is installed to `~/.local/bin`. If `XDG_BIN_HOME` is set, it will be used instead.
 Similarly, if `XDG_DATA_HOME` is set, the target directory will be inferred as
@@ -43,10 +43,11 @@ $ curl -LsSf https://astral.sh/uv/install.sh | env UV_UNMANAGED_INSTALL="/custom
 
 The use of `UV_UNMANAGED_INSTALL` will also disable self-updates (via `uv self update`).
 
-## Passing options to the install script
+## Passing options to the installation script
 
 Using environment variables is recommended because they are consistent across platforms. However,
-options can be passed directly to the install script. For example, to see the available options:
+options can be passed directly to the installation script. For example, to see the available
+options:
 
 ```console
 $ curl -LsSf https://astral.sh/uv/install.sh | sh -s -- --help

docs/reference/settings.md

@@ -3371,7 +3371,7 @@ must either be pinned to exact versions (e.g., `==1.0.0`), or be specified via d
 Hash-checking mode introduces a number of additional constraints:
 
 - Git dependencies are not supported.
-- Editable installs are not supported.
+- Editable installations are not supported.
 - Local dependencies are not supported, unless they point to a specific wheel (`.whl`) or
   source archive (`.zip`, `.tar.gz`), as opposed to a directory.
 

docs/reference/troubleshooting/build-failures.md

@@ -105,7 +105,7 @@ wheel exists in the index, uv tries to build the source distribution.
 You can check which wheels exist for a PyPI project under “Download Files”, e.g.
 https://pypi.org/project/numpy/2.1.1.md#files. Wheels with `...-py3-none-any.whl` filenames work
 everywhere, others have the operating system and platform in the filename. In the linked `numpy`
-example, you can see that there are pre-built distributions for Python 3.10 to 3.13 on MacOS, Linux
+example, you can see that there are pre-built distributions for Python 3.10 to 3.13 on macOS, Linux
 and Windows.
 
 ## Common build failures

docs/reference/troubleshooting/reproducible-examples.md

@@ -9,7 +9,7 @@ a maintainer much longer to identify the root cause of the problem.
 
 ## How to write a reproducible example
 
-When writing a reproducible example, the goal is to provide all of the context necessary for someone
+When writing a reproducible example, the goal is to provide all the context necessary for someone
 else to reproduce your example. This includes:
 
 - The platform you're using (e.g., the operating system and architecture)
@@ -124,8 +124,8 @@ In addition to the script, include _verbose_ logs (i.e., with the `-v` flag) of
 complete error message.
 
 Whenever a script relies on external state, be sure to share that information. For example, if you
-wrote the script on Windows and it uses a Python version that you installed with `choco` and runs on
+wrote the script on Windows, and it uses a Python version that you installed with `choco` and runs
-PowerShell 6.2, please include that in the report.
+on PowerShell 6.2, please include that in the report.
 
 ### Git repository