diff --git a/src/cmd/compile/internal/ssa/prove.go b/src/cmd/compile/internal/ssa/prove.go
index 2ca24660..94d2c52 100644
--- a/src/cmd/compile/internal/ssa/prove.go
+++ b/src/cmd/compile/internal/ssa/prove.go
@@ -867,6 +867,14 @@
 					logicVars = make(map[*Block][]*Value)
 				}
 				logicVars[b] = append(logicVars[b], v)
+			case OpOr64, OpOr32, OpOr16, OpOr8:
+				// TODO: investigate how to always add facts without much slowdown, see issue #57959.
+				if v.Args[0].isGenericIntConst() {
+					ft.update(b, v, v.Args[0], unsigned, gt|eq)
+				}
+				if v.Args[1].isGenericIntConst() {
+					ft.update(b, v, v.Args[1], unsigned, gt|eq)
+				}
 			case OpDiv64u, OpDiv32u, OpDiv16u, OpDiv8u,
 				OpRsh8Ux64, OpRsh8Ux32, OpRsh8Ux16, OpRsh8Ux8,
 				OpRsh16Ux64, OpRsh16Ux32, OpRsh16Ux16, OpRsh16Ux8,
diff --git a/test/prove.go b/test/prove.go
index abc7bfa..91d1f55 100644
--- a/test/prove.go
+++ b/test/prove.go
@@ -1111,6 +1111,11 @@
 	return 0
 }
 
+func issue45928(x int) {
+	combinedFrac := x / (x | (1 << 31)) // ERROR "Proved Neq64$"
+	useInt(combinedFrac)
+}
+
 //go:noinline
 func useInt(a int) {
 }