(* This file was automatically generated: do not edit *********************)
-include "LambdaDelta-1/clear/fwd.ma".
+include "Basic-1/clear/fwd.ma".
theorem clear_clear:
\forall (c1: C).(\forall (c2: C).((clear c1 c2) \to (clear c2 c2)))
(clear_bind b c t) c2 (clear_gen_bind b c c2 t H1)))) (\lambda (f:
F).(\lambda (H1: (clear (CHead c (Flat f) t) c2)).(H c2 (clear_gen_flat f c
c2 t H1)))) k H0))))))) c1).
+(* COMMENTS
+Initial nodes: 199
+END *)
theorem clear_mono:
\forall (c: C).(\forall (c1: C).((clear c c1) \to (\forall (c2: C).((clear c
H3))))) (\lambda (f: F).(\lambda (H2: (clear (CHead c0 (Flat f) t)
c1)).(\lambda (H3: (clear (CHead c0 (Flat f) t) c2)).(H c1 (clear_gen_flat f
c0 c1 t H2) c2 (clear_gen_flat f c0 c2 t H3))))) k H0 H1))))))))) c).
+(* COMMENTS
+Initial nodes: 357
+END *)
theorem clear_trans:
\forall (c1: C).(\forall (c: C).((clear c1 c) \to (\forall (c2: C).((clear c
c (Bind b) t) c3)) (clear_bind b c t) c2 (clear_gen_bind b c c2 t H3)))))
(\lambda (f: F).(\lambda (H2: (clear (CHead c (Flat f) t) c0)).(clear_flat c
c2 (H c0 (clear_gen_flat f c c0 t H2) c2 H1) f t))) k H0))))))))) c1).
+(* COMMENTS
+Initial nodes: 299
+END *)
theorem clear_ctail:
\forall (b: B).(\forall (c1: C).(\forall (c2: C).(\forall (u2: T).((clear c1
(clear (CHead c (Flat f) t) (CHead c2 (Bind b) u2))).(clear_flat (CTail k0 u1
c) (CHead (CTail k0 u1 c2) (Bind b) u2) (H c2 u2 (clear_gen_flat f c (CHead
c2 (Bind b) u2) t H1) k0 u1) f t))) k H0)))))))))) c1)).
+(* COMMENTS
+Initial nodes: 819
+END *)
theorem clear_cle:
\forall (c1: C).(\forall (c2: C).((clear c1 c2) \to (cle c2 c1)))
c2 t H1)))) (\lambda (f: F).(\lambda (H1: (clear (CHead c (Flat f) t)
c2)).(le_plus_trans (cweight c2) (cweight c) (tweight t) (H c2
(clear_gen_flat f c c2 t H1))))) k H0))))))) c1).
+(* COMMENTS
+Initial nodes: 247
+END *)