(* This file was automatically generated: do not edit *********************)
-include "LambdaDelta-1/pr2/defs.ma".
+include "Basic-1/pr2/defs.ma".
-include "LambdaDelta-1/pr0/pr0.ma".
+include "Basic-1/pr0/pr0.ma".
-include "LambdaDelta-1/getl/props.ma".
+include "Basic-1/getl/props.ma".
theorem pr2_confluence__pr2_free_free:
\forall (c: C).(\forall (t0: T).(\forall (t1: T).(\forall (t2: T).((pr0 t0
x)).(\lambda (H2: (pr0 t1 x)).(ex_intro2 T (\lambda (t: T).(pr2 c t1 t))
(\lambda (t: T).(pr2 c t2 t)) x (pr2_free c t1 x H2) (pr2_free c t2 x H1)))))
(pr0_confluence t0 t2 H0 t1 H))))))).
+(* COMMENTS
+Initial nodes: 135
+END *)
theorem pr2_confluence__pr2_free_delta:
\forall (c: C).(\forall (d: C).(\forall (t0: T).(\forall (t1: T).(\forall
T).(pr2 c t2 t)) x0 (pr2_delta c d u i H0 t1 x H4 x0 H7) (pr2_free c t2 x0
H6))))) H5)) (pr0_subst0 t4 x H3 u t2 i H2 u (pr0_refl u))))))
(pr0_confluence t0 t4 H1 t1 H))))))))))))).
+(* COMMENTS
+Initial nodes: 403
+END *)
theorem pr2_confluence__pr2_delta_delta:
\forall (c: C).(\forall (d: C).(\forall (d0: C).(\forall (t0: T).(\forall
(pr0_subst0 t4 x H5 u0 t2 i0 H4 u0 (pr0_refl u0)))))) H7)) (pr0_subst0 t3 x
H6 u t1 i H1 u (pr0_refl u)))))) (pr0_confluence t0 t4 H3 t3
H0))))))))))))))))))).
+(* COMMENTS
+Initial nodes: 1901
+END *)
theorem pr2_confluence:
\forall (c: C).(\forall (t0: T).(\forall (t1: T).((pr2 c t0 t1) \to (\forall
(refl_equal T t0) (refl_equal T t2)))))) t (sym_eq T t t1 H8))) t3 (sym_eq T
t3 t0 H7))) c0 (sym_eq C c0 c H4) H5 H6 H1 H2 H3))))]) in (H1 (refl_equal C
c) (refl_equal T t0) (refl_equal T t1)))))))).
+(* COMMENTS
+Initial nodes: 2087
+END *)