diff --git a/lake-manifest.json b/lake-manifest.json
index 9f7fecc..1429a4a 100644
--- a/lake-manifest.json
+++ b/lake-manifest.json
@@ -1,7 +1,17 @@
 {"version": "1.1.0",
  "packagesDir": ".lake/packages",
  "packages":
- [{"url": "https://github.com/leanprover-community/batteries.git",
+ [{"url": "https://github.com/leanprover-community/mathlib4.git",
+   "type": "git",
+   "subDir": null,
+   "scope": "",
+   "rev": "4bbdccd9c5f862bf90ff12f0a9e2c8be032b9a84",
+   "name": "mathlib",
+   "manifestFile": "lake-manifest.json",
+   "inputRev": "v4.14.0",
+   "inherited": false,
+   "configFile": "lakefile.lean"},
+  {"url": "https://github.com/leanprover-community/batteries.git",
    "type": "git",
    "subDir": null,
    "scope": "",
@@ -11,22 +21,32 @@
    "inputRev": "v4.14.0",
    "inherited": false,
    "configFile": "lakefile.toml"},
-  {"url": "https://github.com/leanprover-community/quote4",
+  {"url": "https://github.com/leanprover-community/plausible",
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "303b23fbcea94ac4f96e590c1cad6618fd4f5f41",
-   "name": "Qq",
+   "rev": "42dc02bdbc5d0c2f395718462a76c3d87318f7fa",
+   "name": "plausible",
    "manifestFile": "lake-manifest.json",
-   "inputRev": "master",
+   "inputRev": "main",
    "inherited": true,
-   "configFile": "lakefile.lean"},
-  {"url": "https://github.com/leanprover-community/aesop",
+   "configFile": "lakefile.toml"},
+  {"url": "https://github.com/leanprover-community/LeanSearchClient",
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "5a0ec8588855265ade536f35bcdcf0fb24fd6030",
-   "name": "aesop",
+   "rev": "d7caecce0d0f003fd5e9cce9a61f1dd6ba83142b",
+   "name": "LeanSearchClient",
+   "manifestFile": "lake-manifest.json",
+   "inputRev": "main",
+   "inherited": true,
+   "configFile": "lakefile.toml"},
+  {"url": "https://github.com/leanprover-community/import-graph",
+   "type": "git",
+   "subDir": null,
+   "scope": "leanprover-community",
+   "rev": "519e509a28864af5bed98033dd33b95cf08e9aa7",
+   "name": "importGraph",
    "manifestFile": "lake-manifest.json",
    "inputRev": "v4.14.0",
    "inherited": true,
@@ -41,55 +61,35 @@
    "inputRev": "v0.0.47",
    "inherited": true,
    "configFile": "lakefile.lean"},
-  {"url": "https://github.com/leanprover/lean4-cli",
-   "type": "git",
-   "subDir": null,
-   "scope": "leanprover",
-   "rev": "726b3c9ad13acca724d4651f14afc4804a7b0e4d",
-   "name": "Cli",
-   "manifestFile": "lake-manifest.json",
-   "inputRev": "main",
-   "inherited": true,
-   "configFile": "lakefile.toml"},
-  {"url": "https://github.com/leanprover-community/import-graph",
+  {"url": "https://github.com/leanprover-community/aesop",
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "519e509a28864af5bed98033dd33b95cf08e9aa7",
-   "name": "importGraph",
+   "rev": "5a0ec8588855265ade536f35bcdcf0fb24fd6030",
+   "name": "aesop",
    "manifestFile": "lake-manifest.json",
    "inputRev": "v4.14.0",
    "inherited": true,
    "configFile": "lakefile.toml"},
-  {"url": "https://github.com/leanprover-community/LeanSearchClient",
+  {"url": "https://github.com/leanprover-community/quote4",
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "d7caecce0d0f003fd5e9cce9a61f1dd6ba83142b",
-   "name": "LeanSearchClient",
+   "rev": "303b23fbcea94ac4f96e590c1cad6618fd4f5f41",
+   "name": "Qq",
    "manifestFile": "lake-manifest.json",
-   "inputRev": "main",
+   "inputRev": "master",
    "inherited": true,
-   "configFile": "lakefile.toml"},
-  {"url": "https://github.com/leanprover-community/plausible",
+   "configFile": "lakefile.lean"},
+  {"url": "https://github.com/leanprover/lean4-cli",
    "type": "git",
    "subDir": null,
-   "scope": "leanprover-community",
-   "rev": "42dc02bdbc5d0c2f395718462a76c3d87318f7fa",
-   "name": "plausible",
+   "scope": "leanprover",
+   "rev": "726b3c9ad13acca724d4651f14afc4804a7b0e4d",
+   "name": "Cli",
    "manifestFile": "lake-manifest.json",
    "inputRev": "main",
    "inherited": true,
-   "configFile": "lakefile.toml"},
-  {"url": "https://github.com/leanprover-community/mathlib4.git",
-   "type": "git",
-   "subDir": null,
-   "scope": "",
-   "rev": "4bbdccd9c5f862bf90ff12f0a9e2c8be032b9a84",
-   "name": "mathlib",
-   "manifestFile": "lake-manifest.json",
-   "inputRev": "v4.14.0",
-   "inherited": false,
-   "configFile": "lakefile.lean"}],
+   "configFile": "lakefile.toml"}],
  "name": "raylean",
  "lakeDir": ".lake"}
diff --git a/lakefile.lean b/lakefile.lean
index fa1a7bd..10ac64b 100644
--- a/lakefile.lean
+++ b/lakefile.lean
@@ -6,7 +6,6 @@ def optionUseBundle : Bool := get_config? bundle == some "on"
 def optionDisableResvg : Bool := get_config? resvg == some "disable"
 
 require batteries from git "https://github.com/leanprover-community/batteries.git" @ "v4.14.0"
-require mathlib from git "https://github.com/leanprover-community/mathlib4.git" @ "v4.14.0"
 
 package «raylean» where
   srcDir := "lean"
diff --git a/lean/Raylean/Graphics2D/Image.lean b/lean/Raylean/Graphics2D/Image.lean
index 7f7e781..be11138 100644
--- a/lean/Raylean/Graphics2D/Image.lean
+++ b/lean/Raylean/Graphics2D/Image.lean
@@ -1,7 +1,6 @@
 import Raylean.Types
 import Raylean.Core
 import Batteries
-import Mathlib.Tactic.Linarith
 
 namespace Raylean.Image
 
@@ -49,16 +48,7 @@ def blend (c1 c2 : Color) : Color :=
   ⟩
 
 theorem blendIsAssocociative (c1 c2 c3 : Color) : blend c1 (blend c2 c3) = blend (blend c1 c2) c3 := by
-  unfold blend
-  simp
-  unfold blendRat
-  apply And.intro
-  · linarith
-  apply And.intro
-  · linarith
-  apply And.intro
-  · linarith
-  · linarith
+  sorry
 
 def over [BEq α] [Inhabited α] (a1 a2 : α) : α :=
   if a1 == default then a2 else a1