diff --git a/llvm/lib/Analysis/ValueTracking.cpp b/llvm/lib/Analysis/ValueTracking.cpp
--- a/llvm/lib/Analysis/ValueTracking.cpp
+++ b/llvm/lib/Analysis/ValueTracking.cpp
@@ -577,6 +577,55 @@
   return !isEphemeralValueOf(Inv, CxtI);
 }
 
+static bool isKnownNonZeroFromAssume(const Value *V, const Query &Q) {
+  // Use of assumptions is context-sensitive. If we don't have a context, we
+  // cannot use them!
+  if (!Q.AC || !Q.CxtI)
+    return false;
+
+  // Note that the patterns below need to be kept in sync with the code
+  // in AssumptionCache::updateAffectedValues.
+
+  for (auto &AssumeVH : Q.AC->assumptionsFor(V)) {
+    if (!AssumeVH)
+      continue;
+    CallInst *I = cast<CallInst>(AssumeVH);
+    assert(I->getParent()->getParent() == Q.CxtI->getParent()->getParent() &&
+           "Got assumption for the wrong function!");
+    if (Q.isExcluded(I))
+      continue;
+
+    // Warning: This loop can end up being somewhat performance sensitive.
+    // We're running this loop for once for each value queried resulting in a
+    // runtime of ~O(#assumes * #values).
+
+    assert(I->getCalledFunction()->getIntrinsicID() == Intrinsic::assume &&
+           "must be an assume intrinsic");
+
+    Value *Arg = I->getArgOperand(0);
+
+    ICmpInst *Cmp = dyn_cast<ICmpInst>(Arg);
+    if (!Cmp)
+      continue;
+
+    auto m_V = m_CombineOr(m_Specific(V), m_PtrToInt(m_Specific(V)));
+
+    CmpInst::Predicate Pred;
+    switch (Cmp->getPredicate()) {
+    default:
+      break;
+    case ICmpInst::ICMP_NE:
+    case ICmpInst::ICMP_UGT:
+      // assume(v !=/u> 0)
+      if (match(Cmp, m_ICmp(Pred, m_V, m_Zero())) &&
+          isValidAssumeForContext(I, Q.CxtI, Q.DT))
+        return true;
+    }
+  }
+
+  return false;
+}
+
 static void computeKnownBitsFromAssume(const Value *V, KnownBits &Known,
                                        unsigned Depth, const Query &Q) {
   // Use of assumptions is context-sensitive. If we don't have a context, we
@@ -2080,6 +2129,9 @@
     }
   }
 
+  if (isKnownNonZeroFromAssume(V, Q))
+    return true;
+
   // Some of the tests below are recursive, so bail out if we hit the limit.
   if (Depth++ >= MaxDepth)
     return false;
diff --git a/llvm/test/Transforms/InstCombine/assume.ll b/llvm/test/Transforms/InstCombine/assume.ll
--- a/llvm/test/Transforms/InstCombine/assume.ll
+++ b/llvm/test/Transforms/InstCombine/assume.ll
@@ -252,8 +252,7 @@
 ; CHECK-NEXT:    [[LOAD:%.*]] = load i32, i32* [[A:%.*]], align 4
 ; CHECK-NEXT:    [[CMP:%.*]] = icmp ne i32 [[LOAD]], 0
 ; CHECK-NEXT:    tail call void @llvm.assume(i1 [[CMP]])
-; CHECK-NEXT:    [[RVAL:%.*]] = icmp eq i32 [[LOAD]], 0
-; CHECK-NEXT:    ret i1 [[RVAL]]
+; CHECK-NEXT:    ret i1 false
 ;
   %load = load i32, i32* %a
   %cmp = icmp ne i32 %load, 0
@@ -268,13 +267,12 @@
 define i1 @nonnull3(i32** %a, i1 %control) {
 ; CHECK-LABEL: @nonnull3(
 ; CHECK-NEXT:  entry:
-; CHECK-NEXT:    [[LOAD:%.*]] = load i32*, i32** [[A:%.*]], align 8
 ; CHECK-NEXT:    br i1 [[CONTROL:%.*]], label [[TAKEN:%.*]], label [[NOT_TAKEN:%.*]]
 ; CHECK:       taken:
+; CHECK-NEXT:    [[LOAD:%.*]] = load i32*, i32** [[A:%.*]], align 8
 ; CHECK-NEXT:    [[CMP:%.*]] = icmp ne i32* [[LOAD]], null
 ; CHECK-NEXT:    tail call void @llvm.assume(i1 [[CMP]])
-; CHECK-NEXT:    [[RVAL:%.*]] = icmp eq i32* [[LOAD]], null
-; CHECK-NEXT:    ret i1 [[RVAL]]
+; CHECK-NEXT:    ret i1 false
 ; CHECK:       not_taken:
 ; CHECK-NEXT:    ret i1 true
 ;
@@ -297,11 +295,10 @@
 define i1 @nonnull4(i32** %a) {
 ; CHECK-LABEL: @nonnull4(
 ; CHECK-NEXT:    [[LOAD:%.*]] = load i32*, i32** [[A:%.*]], align 8
-; CHECK-NEXT:    tail call void @escape(i32* [[LOAD]])
+; CHECK-NEXT:    tail call void @escape(i32* nonnull [[LOAD]])
 ; CHECK-NEXT:    [[CMP:%.*]] = icmp ne i32* [[LOAD]], null
 ; CHECK-NEXT:    tail call void @llvm.assume(i1 [[CMP]])
-; CHECK-NEXT:    [[RVAL:%.*]] = icmp eq i32* [[LOAD]], null
-; CHECK-NEXT:    ret i1 [[RVAL]]
+; CHECK-NEXT:    ret i1 false
 ;
   %load = load i32*, i32** %a
   ;; This call may throw!
@@ -336,12 +333,12 @@
 
 define void @debug_interference(i8 %x) {
 ; CHECK-LABEL: @debug_interference(
-; CHECK-NEXT:    [[CMP1:%.*]] = icmp eq i8 [[X:%.*]], 0
-; CHECK-NEXT:    tail call void @llvm.dbg.value(metadata i32 5, metadata !7, metadata !DIExpression()), !dbg !9
-; CHECK-NEXT:    tail call void @llvm.assume(i1 [[CMP1]])
-; CHECK-NEXT:    tail call void @llvm.dbg.value(metadata i32 5, metadata !7, metadata !DIExpression()), !dbg !9
+; CHECK-NEXT:    [[CMP2:%.*]] = icmp ne i8 [[X:%.*]], 0
 ; CHECK-NEXT:    tail call void @llvm.dbg.value(metadata i32 5, metadata !7, metadata !DIExpression()), !dbg !9
 ; CHECK-NEXT:    tail call void @llvm.assume(i1 false)
+; CHECK-NEXT:    tail call void @llvm.dbg.value(metadata i32 5, metadata !7, metadata !DIExpression()), !dbg !9
+; CHECK-NEXT:    tail call void @llvm.dbg.value(metadata i32 5, metadata !7, metadata !DIExpression()), !dbg !9
+; CHECK-NEXT:    tail call void @llvm.assume(i1 [[CMP2]])
 ; CHECK-NEXT:    ret void
 ;
   %cmp1 = icmp eq i8 %x, 0