DEFINITION pc3_pr3_conf()
TYPE =
∀c:C.∀t:T.∀t1:T.(pc3 c t t1)→∀t2:T.(pr3 c t t2)→(pc3 c t2 t1)
BODY =
assume c: C
assume t: T
assume t1: T
suppose H: pc3 c t t1
assume t2: T
suppose H0: pr3 c t t2
by (pc3_pr3_x . . . H0)
we proved pc3 c t2 t
by (pc3_t . . . previous . H)
we proved pc3 c t2 t1
we proved ∀c:C.∀t:T.∀t1:T.(pc3 c t t1)→∀t2:T.(pr3 c t t2)→(pc3 c t2 t1)