chore: drop devframe- prefix from examples and split out Built with page

Rename examples/devframe-{counter,files-inspector,streaming-chat} to
examples/{counter,files-inspector,streaming-chat}. Update package.json
name/bin, turbo task names, vitest project paths, and README pnpm -C
paths to match.

Move the "Built with Devframe" showcase from guide/index.md into a
dedicated guide/built-with.md page (sidebar entry under Introduction).
Fix two broken vitejs/devtools GitHub URLs in the streaming guide and
the devframe skill.

Internal RPC namespaces, base paths, shared-state keys, channel names,
and CLI commands keep the devframe- prefix.

Author: antfu

docs/.vitepress/config.ts

@@ -19,6 +19,7 @@ function listErrorCodes(prefix: string): string[] {
 function guideItems(prefix: string): DefaultTheme.NavItemWithLink[] {
   return [
     { text: 'Introduction', link: `${prefix}/guide/` },
+    { text: 'Built with Devframe', link: `${prefix}/guide/built-with` },
     { text: 'Devframe Definition', link: `${prefix}/guide/devframe-definition` },
     { text: 'RPC', link: `${prefix}/guide/rpc` },
     { text: 'Shared State', link: `${prefix}/guide/shared-state` },

docs/guide/built-with.md

@@ -0,0 +1,17 @@
+---
+outline: deep
+---
+
+# Built with Devframe
+
+Real-world devtools shipping on Devframe:
+
+- [**Vite DevTools**](https://devtools.vite.dev/) — the host that bundles multiple devframes into one UI (docks, command palette, terminals). Mount your own definition into it via the [`vite` adapter](/adapters/vite).
+- [**ESLint Config Inspector**](https://github.com/eslint/config-inspector) — official ESLint tool for inspecting flat configs.
+- [**node-modules-inspector**](https://github.com/antfu/node-modules-inspector) — interactive visualizer for your `node_modules` dependency graph.
+
+End-to-end examples in this repo, exercising the full adapter surface:
+
+- [**counter**](https://github.com/devframes/devframe/tree/main/examples/counter) — smallest possible demo, exercises all adapters.
+- [**files-inspector**](https://github.com/devframes/devframe/tree/main/examples/files-inspector) — lists files in cwd via RPC; exercises CLI dev/build/spa surfaces.
+- [**streaming-chat**](https://github.com/devframes/devframe/tree/main/examples/streaming-chat) — streams synthetic chat tokens from server to client via `ctx.rpc.streaming`.

docs/guide/index.md

@@ -109,16 +109,3 @@ Devframe has zero dependencies on Vite or any `@vitejs/*` package — the same d
 - [RPC](./rpc) — define type-safe server functions your client can call
 - [Agent-Native](./agent-native) — expose your devframe to Claude Desktop, Cursor, or any MCP client
 
-## Built with Devframe
-
-Real-world devtools shipping on Devframe:
-
-- [**Vite DevTools**](https://devtools.vite.dev/) — the host that bundles multiple devframes into one UI (docks, command palette, terminals). Mount your own definition into it via the [`vite` adapter](/adapters/vite).
-- [**ESLint Config Inspector**](https://github.com/eslint/config-inspector) — official ESLint tool for inspecting flat configs.
-- [**node-modules-inspector**](https://github.com/antfu/node-modules-inspector) — interactive visualizer for your `node_modules` dependency graph.
-
-End-to-end examples in this repo, exercising the full adapter surface:
-
-- [**devframe-counter**](https://github.com/devframes/devframe/tree/main/examples/devframe-counter) — smallest possible demo, exercises all adapters.
-- [**devframe-files-inspector**](https://github.com/devframes/devframe/tree/main/examples/devframe-files-inspector) — lists files in cwd via RPC; exercises CLI dev/build/spa surfaces.
-- [**devframe-streaming-chat**](https://github.com/devframes/devframe/tree/main/examples/devframe-streaming-chat) — streams synthetic chat tokens from server to client via `ctx.rpc.streaming`.

docs/guide/streaming.md

@@ -234,5 +234,5 @@ When you need authoritative state rather than every intermediate value, [shared
 ## Reference
 
 - API surface: `RpcStreamingHost`, `RpcStreamingChannel<T>`, `StreamSink<T>`, `StreamReader<T>` in `devframe/types`.
-- Working example: [`devframe/examples/devframe-streaming-chat`](https://github.com/vitejs/devtools/tree/main/devframe/examples/devframe-streaming-chat).
+- Working example: [`examples/streaming-chat`](https://github.com/devframes/devframe/tree/main/examples/streaming-chat).
 - Errors: [`DF0029`](../errors/DF0029) (overflow), [`DF0030`](../errors/DF0030) (unknown stream id), [`DF0031`](../errors/DF0031) (write to closed stream), [`DF0032`](../errors/DF0032) (channel name collision).

examples/devframe-counter/bin.mjs examples/counter/bin.mjsexamples/devframe-counter/bin.mjs renamed to examples/counter/bin.mjs

@@ -1,12 +1,12 @@
 {
-  "name": "devframe-counter-example",
+  "name": "counter-example",
   "type": "module",
   "version": "0.2.0",
   "private": true,
   "description": "Smallest end-to-end devframe demo — exercises all six adapters.",
   "main": "src/devframe.ts",
   "bin": {
-    "devframe-counter": "./bin.mjs"
+    "counter": "./bin.mjs"
   },
   "scripts": {
     "dev": "node bin.mjs",