diff --git a/src/cmd/compile/internal/ssa/prove.go b/src/cmd/compile/internal/ssa/prove.go
index 908fb5af46..89098e411b 100644
--- a/src/cmd/compile/internal/ssa/prove.go
+++ b/src/cmd/compile/internal/ssa/prove.go
@@ -859,6 +859,15 @@ func prove(f *Func) {
 			case OpOr64, OpOr32, OpOr16, OpOr8:
 				ft.update(b, v, v.Args[1], unsigned, gt|eq)
 				ft.update(b, v, v.Args[0], unsigned, gt|eq)
+			case OpDiv64u, OpDiv32u, OpDiv16u, OpDiv8u,
+				OpRsh8Ux64, OpRsh8Ux32, OpRsh8Ux16, OpRsh8Ux8,
+				OpRsh16Ux64, OpRsh16Ux32, OpRsh16Ux16, OpRsh16Ux8,
+				OpRsh32Ux64, OpRsh32Ux32, OpRsh32Ux16, OpRsh32Ux8,
+				OpRsh64Ux64, OpRsh64Ux32, OpRsh64Ux16, OpRsh64Ux8:
+				ft.update(b, v, v.Args[0], unsigned, lt|eq)
+			case OpMod64u, OpMod32u, OpMod16u, OpMod8u:
+				ft.update(b, v, v.Args[0], unsigned, lt|eq)
+				ft.update(b, v, v.Args[1], unsigned, lt)
 			case OpPhi:
 				// Determine the min and max value of OpPhi composed entirely of integer constants.
 				//
diff --git a/test/prove.go b/test/prove.go
index 7792b432f9..ab893099bf 100644
--- a/test/prove.go
+++ b/test/prove.go
@@ -1046,6 +1046,45 @@ func and(p []byte) ([]byte, []byte) { // issue #52563
 	return blk, rem
 }
 
+func rshu(x, y uint) int {
+	z := x >> y
+	if z <= x { // ERROR "Proved Leq64U$"
+		return 1
+	}
+	return 0
+}
+
+func divu(x, y uint) int {
+	z := x / y
+	if z <= x { // ERROR "Proved Leq64U$"
+		return 1
+	}
+	return 0
+}
+
+func modu1(x, y uint) int {
+	z := x % y
+	if z < y { // ERROR "Proved Less64U$"
+		return 1
+	}
+	return 0
+}
+
+func modu2(x, y uint) int {
+	z := x % y
+	if z <= x { // ERROR "Proved Leq64U$"
+		return 1
+	}
+	return 0
+}
+
+func issue57077(s []int) (left, right []int) {
+	middle := len(s) / 2
+	left = s[:middle] // ERROR "Proved IsSliceInBounds$"
+	right = s[middle:] // ERROR "Proved IsSliceInBounds$"
+	return
+}
+
 func issue51622(b []byte) int {
 	if len(b) >= 3 && b[len(b)-3] == '#' { // ERROR "Proved IsInBounds$"
 		return len(b)