diff --git a/.github/workflows/build.yml b/.github/workflows/build.yml
index 12070735..3803639e 100644
--- a/.github/workflows/build.yml
+++ b/.github/workflows/build.yml
@@ -68,7 +68,7 @@ jobs:
       - name: Build the referee site
         id: referee
         if: github.event_name == 'push'
-        uses: LeanMachineLearning/exposition@v4.34.0
+        uses: LeanMachineLearning/exposition@v4.35.0-rc2
         with:
           root: LeanMachineLearning
           exclude-lib: LMLTutorial
diff --git a/LeanMachineLearning/SequentialLearning/FiniteActions.lean b/LeanMachineLearning/SequentialLearning/FiniteActions.lean
index b0ca865b..22a4f2bd 100644
--- a/LeanMachineLearning/SequentialLearning/FiniteActions.lean
+++ b/LeanMachineLearning/SequentialLearning/FiniteActions.lean
@@ -418,7 +418,6 @@ lemma action_stepsUntil (hm : m ≠ 0) (h_exists : ∃ s, pullCount A a (s + 1)
   · simp [h_pos]
   rw [Nat.sub_add_cancel (by omega)]
   rwa [← pullCount_eq_pullCount_of_action_ne]
-  exact h_ne
 
 lemma action_eq_of_stepsUntil_eq_coe (hm : m ≠ 0) (h : stepsUntil A a m ω = n) :
     A n ω = a := by
diff --git a/lake-manifest.json b/lake-manifest.json
index 5249a063..2673f436 100644
--- a/lake-manifest.json
+++ b/lake-manifest.json
@@ -5,27 +5,27 @@
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "5ed2965256430c3649e86755f9576b54eca72435",
+   "rev": "065356127b1dc0016f66b7283ce0ce2c4055aa55",
    "name": "mathlib",
    "manifestFile": "lake-manifest.json",
-   "inputRev": "v4.34.0",
+   "inputRev": "v4.35.0-rc2",
    "inherited": false,
    "configFile": "lakefile.lean"},
   {"url": "https://github.com/leanprover/verso",
    "type": "git",
    "subDir": null,
    "scope": "",
-   "rev": "cad4b633e75ea769b851f12f9ca3b4f0dfcc625f",
+   "rev": "9f8096e40b31715b1d8d5997f15a0bd832f7e37d",
    "name": "verso",
    "manifestFile": "lake-manifest.json",
-   "inputRev": "v4.34.0",
+   "inputRev": "v4.35.0-rc2",
    "inherited": false,
    "configFile": "lakefile.lean"},
   {"url": "https://github.com/leanprover-community/plausible",
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "118aa17ee84656b8bd727fef7c458ee8c833385c",
+   "rev": "e50948299c4dc4a4c21b1c34b6a6a4fddc19f912",
    "name": "plausible",
    "manifestFile": "lake-manifest.json",
    "inputRev": "main",
@@ -35,7 +35,7 @@
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "ddf04cf3949fa556442341e87d47f9f6e6074707",
+   "rev": "95e037bfdc31d3916ac615446847fb01960e2719",
    "name": "LeanSearchClient",
    "manifestFile": "lake-manifest.json",
    "inputRev": "main",
@@ -45,7 +45,7 @@
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "e928b72544873815af278d38681b31c0293588e3",
+   "rev": "10930f8138f0462dbd744a91fc03a16fae0e046f",
    "name": "importGraph",
    "manifestFile": "lake-manifest.json",
    "inputRev": "main",
@@ -55,7 +55,7 @@
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "106ff4fafc74ef4ac99d81dbf3ab399118f497a5",
+   "rev": "4c70ac059693669e5756e32a7a94b57ee1e99dc5",
    "name": "proofwidgets",
    "manifestFile": "lake-manifest.json",
    "inputRev": "main",
@@ -65,7 +65,7 @@
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "355695d523e41d0554926416cba2a2b3544fbbc9",
+   "rev": "75d936c7af167cc93fac0d31237682fc2204591d",
    "name": "aesop",
    "manifestFile": "lake-manifest.json",
    "inputRev": "master",
@@ -75,7 +75,7 @@
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "6a489d9af5d0c47e5b259e2e8bcdfc1811b5a259",
+   "rev": "786b7acdca7eb4e9c76c5d1d5bd810e7e5c56334",
    "name": "Qq",
    "manifestFile": "lake-manifest.json",
    "inputRev": "master",
@@ -85,7 +85,7 @@
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "f2effa3d803fda822b1f97b806c47cf2adfbcbc2",
+   "rev": "ed9b316aabe389fec1ef43c3326ab48c7e59be42",
    "name": "batteries",
    "manifestFile": "lake-manifest.json",
    "inputRev": "main",
@@ -95,17 +95,17 @@
    "type": "git",
    "subDir": null,
    "scope": "leanprover",
-   "rev": "e92c9f15fdfacc8536f31cfb3b7ad26c3c8cd204",
+   "rev": "2842b9871b04862f944c032e34052cb9448ccb71",
    "name": "Cli",
    "manifestFile": "lake-manifest.json",
-   "inputRev": "v4.34.0",
+   "inputRev": "v4.35.0-rc2",
    "inherited": true,
    "configFile": "lakefile.toml"},
   {"url": "https://github.com/leanprover/illuminate",
    "type": "git",
    "subDir": null,
    "scope": "",
-   "rev": "a1a61c9678da010e958ed24cdfa6f635b85f172a",
+   "rev": "68a463c484e24708627b8761e8730e76b295d1e2",
    "name": "illuminate",
    "manifestFile": "lake-manifest.json",
    "inputRev": "main",
@@ -125,7 +125,7 @@
    "type": "git",
    "subDir": null,
    "scope": "",
-   "rev": "9b90b7f938d6169246325df002351014f49945ef",
+   "rev": "d047cb484b2f3598187450935dbcc84d078cb581",
    "name": "subverso",
    "manifestFile": "lake-manifest.json",
    "inputRev": "main",
diff --git a/lakefile.toml b/lakefile.toml
index 0d885c9c..cb5cd259 100644
--- a/lakefile.toml
+++ b/lakefile.toml
@@ -12,12 +12,12 @@ weak.linter.mathlibStandardSet = true
 [[require]]
 name = "verso"
 git = "https://github.com/leanprover/verso"
-rev = "v4.34.0"
+rev = "v4.35.0-rc2"
 
 [[require]]
 name = "mathlib"
 scope = "leanprover-community"
-rev = "v4.34.0"
+rev = "v4.35.0-rc2"
 
 [[lean_lib]]
 name = "LeanMachineLearning"
diff --git a/lean-toolchain b/lean-toolchain
index 12359f92..acc704ff 100644
--- a/lean-toolchain
+++ b/lean-toolchain
@@ -1 +1 @@
-leanprover/lean4:v4.34.0
+leanprover/lean4:v4.35.0-rc2