diff --git a/lean4/lake-manifest.json b/lean4/lake-manifest.json
index c85a9f5..393fed6 100644
--- a/lean4/lake-manifest.json
+++ b/lean4/lake-manifest.json
@@ -5,27 +5,27 @@
    "type": "git",
    "subDir": null,
    "scope": "",
-   "rev": "4bbdccd9c5f862bf90ff12f0a9e2c8be032b9a84",
+   "rev": "9837ca9d65d9de6fad1ef4381750ca688774e608",
    "name": "mathlib",
    "manifestFile": "lake-manifest.json",
-   "inputRev": "v4.14.0",
+   "inputRev": "v4.15.0",
    "inherited": false,
    "configFile": "lakefile.lean"},
   {"url": "https://github.com/leanprover-community/plausible",
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "42dc02bdbc5d0c2f395718462a76c3d87318f7fa",
+   "rev": "2c57364ef83406ea86d0f78ce3e342079a2fece5",
    "name": "plausible",
    "manifestFile": "lake-manifest.json",
-   "inputRev": "main",
+   "inputRev": "v4.15.0",
    "inherited": true,
    "configFile": "lakefile.toml"},
   {"url": "https://github.com/leanprover-community/LeanSearchClient",
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "d7caecce0d0f003fd5e9cce9a61f1dd6ba83142b",
+   "rev": "003ff459cdd85de551f4dcf95cdfeefe10f20531",
    "name": "LeanSearchClient",
    "manifestFile": "lake-manifest.json",
    "inputRev": "main",
@@ -35,57 +35,57 @@
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "519e509a28864af5bed98033dd33b95cf08e9aa7",
+   "rev": "9a0b533c2fbd6195df067630be18e11e4349051c",
    "name": "importGraph",
    "manifestFile": "lake-manifest.json",
-   "inputRev": "v4.14.0",
+   "inputRev": "v4.15.0",
    "inherited": true,
    "configFile": "lakefile.toml"},
   {"url": "https://github.com/leanprover-community/ProofWidgets4",
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "68280daef58803f68368eb2e53046dabcd270c9d",
+   "rev": "2b000e02d50394af68cfb4770a291113d94801b5",
    "name": "proofwidgets",
    "manifestFile": "lake-manifest.json",
-   "inputRev": "v0.0.47",
+   "inputRev": "v0.0.48",
    "inherited": true,
    "configFile": "lakefile.lean"},
   {"url": "https://github.com/leanprover-community/aesop",
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "5a0ec8588855265ade536f35bcdcf0fb24fd6030",
+   "rev": "2689851f387bb2cef351e6825fe94a56a304ca13",
    "name": "aesop",
    "manifestFile": "lake-manifest.json",
-   "inputRev": "v4.14.0",
+   "inputRev": "v4.15.0",
    "inherited": true,
    "configFile": "lakefile.toml"},
   {"url": "https://github.com/leanprover-community/quote4",
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "303b23fbcea94ac4f96e590c1cad6618fd4f5f41",
+   "rev": "f0c584bcb14c5adfb53079781eeea75b26ebbd32",
    "name": "Qq",
    "manifestFile": "lake-manifest.json",
-   "inputRev": "master",
+   "inputRev": "v4.15.0",
    "inherited": true,
-   "configFile": "lakefile.lean"},
+   "configFile": "lakefile.toml"},
   {"url": "https://github.com/leanprover-community/batteries",
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "8d6c853f11a5172efa0e96b9f2be1a83d861cdd9",
+   "rev": "e8dc5fc16c625fc4fe08f42d625523275ddbbb4b",
    "name": "batteries",
    "manifestFile": "lake-manifest.json",
-   "inputRev": "v4.14.0",
+   "inputRev": "v4.15.0",
    "inherited": true,
    "configFile": "lakefile.toml"},
   {"url": "https://github.com/leanprover/lean4-cli",
    "type": "git",
    "subDir": null,
    "scope": "leanprover",
-   "rev": "726b3c9ad13acca724d4651f14afc4804a7b0e4d",
+   "rev": "0c8ea32a15a4f74143e4e1e107ba2c412adb90fd",
    "name": "Cli",
    "manifestFile": "lake-manifest.json",
    "inputRev": "main",
diff --git a/lean4/lakefile.lean b/lean4/lakefile.lean
index 770c412..924fe34 100644
--- a/lean4/lakefile.lean
+++ b/lean4/lakefile.lean
@@ -6,7 +6,7 @@ package «putnam» where
   leanOptions := #[
     ⟨`autoImplicit, false⟩
   ]
-require mathlib from git "https://github.com/leanprover-community/mathlib4" @ "v4.14.0"
+require mathlib from git "https://github.com/leanprover-community/mathlib4" @ "v4.15.0"
 
 @[default_target]
 lean_lib «putnam» where
diff --git a/lean4/lean-toolchain b/lean4/lean-toolchain
index 1e70935..d0eb99f 100644
--- a/lean4/lean-toolchain
+++ b/lean4/lean-toolchain
@@ -1 +1 @@
-leanprover/lean4:v4.14.0
+leanprover/lean4:v4.15.0