DEFINITION pr0_gen_abbr()
TYPE =
∀u1:T
.∀t1:T
.∀x:T
.pr0 (THead (Bind Abbr) u1 t1) x
→(or
ex3_2
T
T
λu2:T.λt2:T.eq T x (THead (Bind Abbr) u2 t2)
λu2:T.λ:T.pr0 u1 u2
λu2:T.λt2:T.or (pr0 t1 t2) (ex2 T λy:T.pr0 t1 y λy:T.subst0 O u2 y t2)
pr0 t1 (lift (S O) O x))
BODY =
Show proof