[VectorOps] Removed VectorAnalysis BUILD rule

PiperOrigin-RevId: 292614961
Change-Id: Iadb4318e5645c0319935595b7575594862feed9e
diff --git a/third_party/mlir/BUILD b/third_party/mlir/BUILD
index c9eebed..da2dcf3 100644
--- a/third_party/mlir/BUILD
+++ b/third_party/mlir/BUILD
@@ -1346,7 +1346,6 @@
         ":StandardOps",
         ":Support",
         ":TransformUtils",
-        ":VectorAnalysis",
         ":VectorOps",
         "@llvm-project//llvm:support",
     ],
@@ -1535,28 +1534,6 @@
 )
 
 cc_library(
-    name = "VectorAnalysis",
-    srcs = glob([
-        "lib/Analysis/Vector*.cpp",
-        "lib/Analysis/Vector*.h",
-    ]),
-    hdrs = glob([
-        "include/mlir/Analysis/Vector*.h",
-    ]),
-    includes = ["include"],
-    deps = [
-        ":AffineOps",
-        ":Analysis",
-        ":IR",
-        ":StandardOps",
-        ":Support",
-        ":VectorOps",
-        "@llvm-project//llvm:support",
-    ],
-    alwayslink = 1,
-)
-
-cc_library(
     name = "Translation",
     srcs = glob([
         "lib/Translation/*.cpp",