(* This file was automatically generated: do not edit *********************)
-include "LambdaDelta-1/pr3/defs.ma".
+include "Basic-1/pr3/defs.ma".
-include "LambdaDelta-1/pr2/subst1.ma".
+include "Basic-1/pr2/subst1.ma".
theorem pr3_subst1:
\forall (c: C).(\forall (e: C).(\forall (v: T).(\forall (i: nat).((getl i c
t5 x0)).(ex_intro2 T (\lambda (w2: T).(pr3 c w1 w2)) (\lambda (w2: T).(subst1
i v t5 w2)) x0 (pr3_sing c x w1 H5 x0 H7) H8)))) (H3 x H6))))) (pr2_subst1 c
e v i H t4 t3 H1 w1 H4)))))))))) t1 t2 H0)))))))).
+(* COMMENTS
+Initial nodes: 425
+END *)
theorem pr3_gen_cabbr:
\forall (c: C).(\forall (t1: T).(\forall (t2: T).((pr3 c t1 t2) \to (\forall
u t4 (lift (S O) d x2))) (\lambda (x2: T).(pr3 a x1 x2)) x0 H9 (pr3_sing a x
x1 H8 x0 H10))))) (H2 e u d H3 a0 H4 a H5 x H7))))) (pr2_gen_cabbr c t3 t0 H0
e u d H3 a0 H4 a H5 x1 H6)))))))))))))))))) t1 t2 H)))).
+(* COMMENTS
+Initial nodes: 731
+END *)