(* This file was automatically generated: do not edit *********************)
-include "LambdaDelta-1/csuba/arity.ma".
+include "Basic-1/csuba/arity.ma".
-include "LambdaDelta-1/pr3/defs.ma".
+include "Basic-1/pr3/defs.ma".
-include "LambdaDelta-1/pr1/defs.ma".
+include "Basic-1/pr1/defs.ma".
-include "LambdaDelta-1/wcpr0/getl.ma".
+include "Basic-1/wcpr0/getl.ma".
-include "LambdaDelta-1/pr0/fwd.ma".
+include "Basic-1/pr0/fwd.ma".
-include "LambdaDelta-1/arity/subst0.ma".
+include "Basic-1/arity/subst0.ma".
theorem arity_sred_wcpr0_pr0:
\forall (g: G).(\forall (c1: C).(\forall (t1: T).(\forall (a: A).((arity g
(a2: A).(\lambda (H2: (leq g a1 a2)).(\lambda (c2: C).(\lambda (H3: (wcpr0 c
c2)).(\lambda (t2: T).(\lambda (H4: (pr0 t t2)).(arity_repl g c2 t2 a1 (H1 c2
H3 t2 H4) a2 H2)))))))))))) c1 t1 a H))))).
+(* COMMENTS
+Initial nodes: 10246
+END *)
theorem arity_sred_wcpr0_pr1:
\forall (t1: T).(\forall (t2: T).((pr1 t1 t2) \to (\forall (g: G).(\forall
(arity g c1 t4 a)).(\lambda (c2: C).(\lambda (H4: (wcpr0 c1 c2)).(H2 g c2 a
(arity_sred_wcpr0_pr0 g c1 t4 a H3 c2 H4 t3 H0) c2 (wcpr0_refl
c2)))))))))))))) t1 t2 H))).
+(* COMMENTS
+Initial nodes: 213
+END *)
theorem arity_sred_pr2:
\forall (c: C).(\forall (t1: T).(\forall (t2: T).((pr2 c t1 t2) \to (\forall
G).(\lambda (a: A).(\lambda (H3: (arity g c0 t3 a)).(arity_subst0 g c0 t4 a
(arity_sred_wcpr0_pr0 g c0 t3 a H3 c0 (wcpr0_refl c0) t4 H1) d u i H0 t
H2)))))))))))))) c t1 t2 H)))).
+(* COMMENTS
+Initial nodes: 205
+END *)
theorem arity_sred_pr3:
\forall (c: C).(\forall (t1: T).(\forall (t2: T).((pr3 c t1 t2) \to (\forall
t3 a) \to (arity g c t5 a)))))).(\lambda (g: G).(\lambda (a: A).(\lambda (H3:
(arity g c t4 a)).(H2 g a (arity_sred_pr2 c t4 t3 H0 g a H3))))))))))) t1 t2
H)))).
+(* COMMENTS
+Initial nodes: 151
+END *)