diff --git a/SSA/Projects/LeanMlirCommon/SimplyTyped/Context.lean b/SSA/Projects/LeanMlirCommon/SimplyTyped/Context.lean
index 5c6ce5123..9215bcdbd 100644
--- a/SSA/Projects/LeanMlirCommon/SimplyTyped/Context.lean
+++ b/SSA/Projects/LeanMlirCommon/SimplyTyped/Context.lean
@@ -28,7 +28,7 @@ def push (Γ : Context Ty) (v : VarName) (ty : Ty) : Context Ty :=
 
 @[simp] theorem hasType_push_of_neq {Γ : Context Ty} (h : w ≠ v) :
     (Γ.push v ty).hasType w ty' ↔ Γ.hasType w ty' := by
-  simp [push, hasType, List.lookup, (beq_eq_false_iff_ne _ _).mpr h]
+  simp [push, hasType, List.lookup, (beq_eq_false_iff_ne).mpr h]
 
 /-! ## `ExtEq`-/
 
diff --git a/lake-manifest.json b/lake-manifest.json
index da23ff163..18ab3bc59 100644
--- a/lake-manifest.json
+++ b/lake-manifest.json
@@ -5,7 +5,7 @@
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "0387946625f5846566d2d29a1d664fa804c46077",
+   "rev": "d3d14247822bd81d0795870d255c227e5a1e93e9",
    "name": "batteries",
    "manifestFile": "lake-manifest.json",
    "inputRev": "nightly-testing",
@@ -55,7 +55,7 @@
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "8ab24d4bb8b4c4a52af3f39027f255b1901669c9",
+   "rev": "8e530857b9be633a8cefaaff756534d219e7b06b",
    "name": "importGraph",
    "manifestFile": "lake-manifest.json",
    "inputRev": "main",
@@ -65,10 +65,10 @@
    "type": "git",
    "subDir": null,
    "scope": "",
-   "rev": "b5a83ea0c40bb96f710a523dbf14796352c8ce31",
+   "rev": "dfbd837a1da3cc0257ec101c10561cb85c0ca325",
    "name": "mathlib",
    "manifestFile": "lake-manifest.json",
-   "inputRev": "nightly-testing-2024-09-04",
+   "inputRev": "nightly-testing-2024-09-05",
    "inherited": false,
    "configFile": "lakefile.lean"},
   {"url": "https://github.com/acmepjz/md4lean",
diff --git a/lakefile.toml b/lakefile.toml
index f683def7a..2c0a132df 100644
--- a/lakefile.toml
+++ b/lakefile.toml
@@ -4,7 +4,7 @@ defaultTargets = ["SSA"]
 [[require]]
 name = "mathlib"
 git = "https://github.com/leanprover-community/mathlib4"
-rev = "nightly-testing-2024-09-04"
+rev = "nightly-testing-2024-09-05"
 
 [[require]]
 name = "Cli"
diff --git a/lean-toolchain b/lean-toolchain
index 9ce9f711e..7144a1486 100644
--- a/lean-toolchain
+++ b/lean-toolchain
@@ -1 +1 @@
-leanprover/lean4:nightly-2024-09-04
+leanprover/lean4:nightly-2024-09-05