(* This file was automatically generated: do not edit *********************)
-include "Basic-1/pr3/props.ma".
+include "basic_1/pr3/props.ma".
-include "Basic-1/pr2/pr2.ma".
+include "basic_1/pr2/pr2.ma".
-theorem pr3_strip:
+lemma pr3_strip:
\forall (c: C).(\forall (t0: T).(\forall (t1: T).((pr3 c t0 t1) \to (\forall
(t2: T).((pr2 c t0 t2) \to (ex2 T (\lambda (t: T).(pr3 c t1 t)) (\lambda (t:
T).(pr3 c t2 t))))))))
(\lambda (t: T).(pr3 c t4 t)) (\lambda (t: T).(pr3 c t5 t)) x0 H6 (pr3_sing c
x t5 H4 x0 H7))))) (H2 x H5))))) (pr2_confluence c t3 t5 H3 t2 H0))))))))))
t0 t1 H)))).
-(* COMMENTS
-Initial nodes: 375
-END *)
theorem pr3_confluence:
\forall (c: C).(\forall (t0: T).(\forall (t1: T).((pr3 c t0 t1) \to (\forall
(\lambda (t: T).(pr3 c t4 t)) (\lambda (t: T).(pr3 c t5 t)) x0 H6 (pr3_t x t5
c H4 x0 H7))))) (H2 x H5))))) (pr3_strip c t3 t5 H3 t2 H0)))))))))) t0 t1
H)))).
-(* COMMENTS
-Initial nodes: 367
-END *)