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+(* Simple let-in's *)
+Definition l1 := [P := O]P.
+Definition l2 := [P := nat]P.
+Definition l3 := [P := True]P.
+Definition l4 := [P := Prop]P.
+Definition l5 := [P := Type]P.
+
+(* Check casting of let-in *)
+Definition l6 := [P := O : nat]P.
+Definition l7 := [P := True : Prop]P.
+Definition l8 := [P := True : Type]P.