Let X, Y and x be given.
Assume H: x X.
We will prove Inj0 x {Inj0 x|xX} {Inj1 y|yY}.
Apply binunionI1 to the current goal.
We will prove Inj0 x {Inj0 x|xX}.
Apply ReplI to the current goal.
An exact proof term for the current goal is H.