DEFINITION pr0_confluence__pr0_cong_upsilon_zeta()
TYPE =
∀b:B
.not (eq B b Abst)
→∀u0:T
.∀u3:T
.pr0 u0 u3
→∀u2:T
.∀v2:T
.∀x0:T
.pr0 u2 x0
→(pr0 v2 x0
→∀x:T
.∀t3:T
.∀x1:T
.pr0 x x1
→(pr0 t3 x1
→(ex2
T
λt:T.pr0 (THead (Flat Appl) u2 t3) t
λt:T
.pr0
THead
Bind b
u3
THead (Flat Appl) (lift (S O) O v2) (lift (S O) O x)
t)))
BODY =
Show proof