(* This file was automatically generated: do not edit *********************)
-include "LambdaDelta-1/subst0/fwd.ma".
+include "Basic-1/subst0/fwd.ma".
theorem subst0_refl:
\forall (u: T).(\forall (t: T).(\forall (d: nat).((subst0 d u t t) \to
t2)) H5 t1 H7) in (let H10 \def (eq_ind_r T x0 (\lambda (t2: T).(subst0 d u
t0 t2)) H4 t0 H8) in (H d H10 P))))) H6))))))) H2)) (subst0_gen_head k u t0
t1 (THead k t0 t1) d H1)))))))))) t)).
+(* COMMENTS
+Initial nodes: 1119
+END *)
theorem subst0_lift_lt:
\forall (t1: T).(\forall (t2: T).(\forall (u: T).(\forall (i: nat).((subst0
(s_lt k i0 d H4) h) (minus d (S i0)) (minus_s_s k d (S i0)))) (lift h d
(THead k u2 t3)) (lift_head k u2 t3 h d)) (lift h d (THead k u1 t0))
(lift_head k u1 t0 h d))))))))))))))))) i u t1 t2 H))))).
+(* COMMENTS
+Initial nodes: 1805
+END *)
theorem subst0_lift_ge:
\forall (t1: T).(\forall (t2: T).(\forall (u: T).(\forall (i: nat).(\forall
h) (H1 d H4) k (lift h (s k d) t0) (lift h (s k d) t3) (H5 (s k d) (s_le k d
i0 H4))) (lift h d (THead k u2 t3)) (lift_head k u2 t3 h d)) (lift h d (THead
k u1 t0)) (lift_head k u1 t0 h d)))))))))))))))) i u t1 t2 H)))))).
+(* COMMENTS
+Initial nodes: 1449
+END *)
theorem subst0_lift_ge_S:
\forall (t1: T).(\forall (t2: T).(\forall (u: T).(\forall (i: nat).((subst0
t2))) (subst0_lift_ge t1 t2 u i (S O) H d H0) (S i) (eq_ind_r nat (plus (S O)
i) (\lambda (n: nat).(eq nat n (S i))) (refl_equal nat (S i)) (plus i (S O))
(plus_sym i (S O)))))))))).
+(* COMMENTS
+Initial nodes: 137
+END *)
theorem subst0_lift_ge_s:
\forall (t1: T).(\forall (t2: T).(\forall (u: T).(\forall (i: nat).((subst0
\lambda (t1: T).(\lambda (t2: T).(\lambda (u: T).(\lambda (i: nat).(\lambda
(H: (subst0 i u t1 t2)).(\lambda (d: nat).(\lambda (H0: (le d i)).(\lambda
(_: B).(subst0_lift_ge_S t1 t2 u i H d H0)))))))).
+(* COMMENTS
+Initial nodes: 43
+END *)