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(* Check insertion of impossible case when there is no branch at all *)
Inductive eq_true : bool -> Prop := is_eq_true : eq_true true.
Check fun H:eq_true false => match H with end : False.
Inductive I : bool -> bool -> Prop := C : I true true.
Check fun x (H:I x false) => match H with end : False.
Check fun x (H:I false x) => match H with end : False.
Inductive I' : bool -> Type := C1 : I' true | C2 : I' true.
Check fun x : I' false => match x with end : False.
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