diff --git a/.github/workflows/build.yml b/.github/workflows/build.yml
index 3ded8fd..eefd9af 100644
--- a/.github/workflows/build.yml
+++ b/.github/workflows/build.yml
@@ -2,6 +2,8 @@ name: CI
 
 on:
   push:
+    branches:
+      - "master"
   pull_request:
   workflow_dispatch:
 
@@ -10,6 +12,10 @@ permissions:
   pages: write
   id-token: write
 
+concurrency:
+  group: ${{ github.workflow }}-${{ github.ref }}
+  cancel-in-progress: true
+
 jobs:
   build:
     runs-on: ubuntu-latest
diff --git a/lake-manifest.json b/lake-manifest.json
index 75c21fb..9b05b9a 100644
--- a/lake-manifest.json
+++ b/lake-manifest.json
@@ -5,7 +5,7 @@
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "937cd3219c0beffa7b623d2905707d1304da259e",
+   "rev": "422d1a5f608fccafeddab9748e8038ef346b59bf",
    "name": "batteries",
    "manifestFile": "lake-manifest.json",
    "inputRev": "main",
@@ -15,7 +15,7 @@
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "a7bfa63f5dddbcab2d4e0569c4cac74b2585e2c6",
+   "rev": "fa3d73a2cf077f4b14c7840352ac7b08aeb6eb41",
    "name": "Qq",
    "manifestFile": "lake-manifest.json",
    "inputRev": "master",
@@ -25,7 +25,7 @@
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "622d52c803db99ff4ea4fb442c1db9e91aed944c",
+   "rev": "b20a88676fd00affb90cbc9f1ff004ae588103b3",
    "name": "aesop",
    "manifestFile": "lake-manifest.json",
    "inputRev": "master",
@@ -35,47 +35,57 @@
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "d1b33202c3a29a079f292de65ea438648123b635",
+   "rev": "cd20dae87c48495f0220663014dff11671597fcf",
    "name": "proofwidgets",
    "manifestFile": "lake-manifest.json",
-   "inputRev": "v0.0.39",
+   "inputRev": "v0.0.43-pre",
    "inherited": true,
    "configFile": "lakefile.lean"},
   {"url": "https://github.com/leanprover/lean4-cli",
    "type": "git",
    "subDir": null,
-   "scope": "",
-   "rev": "a11566029bd9ec4f68a65394e8c3ff1af74c1a29",
+   "scope": "leanprover",
+   "rev": "2cf1030dc2ae6b3632c84a09350b675ef3e347d0",
    "name": "Cli",
    "manifestFile": "lake-manifest.json",
    "inputRev": "main",
    "inherited": true,
-   "configFile": "lakefile.lean"},
+   "configFile": "lakefile.toml"},
   {"url": "https://github.com/leanprover-community/import-graph",
    "type": "git",
    "subDir": null,
-   "scope": "",
-   "rev": "68b518c9b352fbee16e6d632adcb7a6d0760e2b7",
+   "scope": "leanprover-community",
+   "rev": "9b4088ccf0f44ddd7b1132bb1348aef8cf481e12",
    "name": "importGraph",
    "manifestFile": "lake-manifest.json",
-   "inputRev": "68b518c9b352fbee16e6d632adcb7a6d0760e2b7",
-   "inherited": false,
+   "inputRev": "main",
+   "inherited": true,
+   "configFile": "lakefile.toml"},
+  {"url": "https://github.com/leanprover-community/LeanSearchClient",
+   "type": "git",
+   "subDir": null,
+   "scope": "leanprover-community",
+   "rev": "7bedaed1ef024add1e171cc17706b012a9a37802",
+   "name": "LeanSearchClient",
+   "manifestFile": "lake-manifest.json",
+   "inputRev": "main",
+   "inherited": true,
    "configFile": "lakefile.toml"},
   {"url": "https://github.com/leanprover-community/mathlib4",
    "type": "git",
    "subDir": null,
-   "scope": "",
-   "rev": "ab9dec5b351bc7e92f30b47031edf13458bc7a1d",
+   "scope": "leanprover-community",
+   "rev": "a54be302d6fd476755ef0d77c2e4b3a7768e9c9c",
    "name": "mathlib",
    "manifestFile": "lake-manifest.json",
-   "inputRev": "ab9dec5b351bc7e92f30b47031edf13458bc7a1d",
+   "inputRev": "master",
    "inherited": true,
    "configFile": "lakefile.lean"},
   {"url": "https://github.com/FormalizedFormalLogic/Foundation",
    "type": "git",
    "subDir": null,
    "scope": "",
-   "rev": "33e08c2b47f966f772df9af60cbdbc5688295bbf",
+   "rev": "e6caa4b3db976f31c803623a3545493f41f33f5d",
    "name": "foundation",
    "manifestFile": "lake-manifest.json",
    "inputRev": "master",
@@ -85,7 +95,7 @@
    "type": "git",
    "subDir": null,
    "scope": "",
-   "rev": "85e327734277b7f5b91d272d34a060ed21cbfdfa",
+   "rev": "c452703ba2b6fd57a7eb511590b2ff9d7ba70a05",
    "name": "arithmetization",
    "manifestFile": "lake-manifest.json",
    "inputRev": "master",
@@ -95,7 +105,7 @@
    "type": "git",
    "subDir": null,
    "scope": "",
-   "rev": "a8ad9e0408c932c95aca6dc136cb081f789aeab9",
+   "rev": "6e4c2d997e5a84008963467a618274370fbe6a6c",
    "name": "incompleteness",
    "manifestFile": "lake-manifest.json",
    "inputRev": "master",
@@ -105,7 +115,7 @@
    "type": "git",
    "subDir": null,
    "scope": "",
-   "rev": "9148a0a7506099963925cf239c491fcda5ed0044",
+   "rev": "5e95f4776be5e048364f325c7e9d619bb56fb005",
    "name": "MD4Lean",
    "manifestFile": "lake-manifest.json",
    "inputRev": "main",
@@ -115,7 +125,7 @@
    "type": "git",
    "subDir": null,
    "scope": "",
-   "rev": "f93115d0209de6db335725dee900d379f40c0317",
+   "rev": "b41bc9cec7f433d6e1d74ff3b59edaaf58ad2915",
    "name": "UnicodeBasic",
    "manifestFile": "lake-manifest.json",
    "inputRev": "main",
@@ -125,7 +135,7 @@
    "type": "git",
    "subDir": null,
    "scope": "",
-   "rev": "bd8747df9ee72fca365efa5bd3bd0d8dcd083b9f",
+   "rev": "bdc2fc30b1e834b294759a5d391d83020a90058e",
    "name": "BibtexQuery",
    "manifestFile": "lake-manifest.json",
    "inputRev": "master",
@@ -135,10 +145,10 @@
    "type": "git",
    "subDir": null,
    "scope": "",
-   "rev": "b941c425f6f0f1dc45fe13b850ffa7db1bb20d04",
+   "rev": "e18c6c23dd7cb1f12d79d6304262351df943aa37",
    "name": "«doc-gen4»",
    "manifestFile": "lake-manifest.json",
-   "inputRev": "b941c425f6f0f1dc45fe13b850ffa7db1bb20d04",
+   "inputRev": "main",
    "inherited": false,
    "configFile": "lakefile.lean"}],
  "name": "Summary",
diff --git a/lakefile.lean b/lakefile.lean
index 4ca5ab7..1c3b524 100644
--- a/lakefile.lean
+++ b/lakefile.lean
@@ -5,8 +5,7 @@ require foundation from git "https://github.com/FormalizedFormalLogic/Foundation
 require arithmetization from git "https://github.com/FormalizedFormalLogic/Arithmetization" @ "master"
 require incompleteness from git "https://github.com/FormalizedFormalLogic/Incompleteness" @ "master"
 
-require importGraph from git "https://github.com/leanprover-community/import-graph" @ "68b518c9b352fbee16e6d632adcb7a6d0760e2b7"
-require «doc-gen4» from git "https://github.com/leanprover/doc-gen4" @ "b941c425f6f0f1dc45fe13b850ffa7db1bb20d04"
+require «doc-gen4» from git "https://github.com/leanprover/doc-gen4" @ "main"
 
 package "Summary" where
 
diff --git a/lean-toolchain b/lean-toolchain
index 6a4259f..eff86fd 100644
--- a/lean-toolchain
+++ b/lean-toolchain
@@ -1 +1 @@
-leanprover/lean4:v4.10.0-rc2
+leanprover/lean4:v4.13.0-rc3