(* This file was automatically generated: do not edit *********************)
-include "Basic-1/csubv/defs.ma".
+include "basic_1/csubv/fwd.ma".
-include "Basic-1/clear/fwd.ma".
+include "basic_1/clear/fwd.ma".
theorem csubv_clear_conf:
\forall (c1: C).(\forall (c2: C).((csubv c1 c2) \to (\forall (b1:
C).(\lambda (v2: T).(clear c4 (CHead d2 (Bind b2) v2)))))))))))).(\lambda
(v1: T).(\lambda (v2: T).(\lambda (b1: B).(\lambda (d1: C).(\lambda (v0:
T).(\lambda (H2: (clear (CHead c3 (Bind Void) v1) (CHead d1 (Bind b1)
-v0))).(let H3 \def (f_equal C C (\lambda (e: C).(match e in C return (\lambda
-(_: C).C) with [(CSort _) \Rightarrow d1 | (CHead c _ _) \Rightarrow c]))
-(CHead d1 (Bind b1) v0) (CHead c3 (Bind Void) v1) (clear_gen_bind Void c3
-(CHead d1 (Bind b1) v0) v1 H2)) in ((let H4 \def (f_equal C B (\lambda (e:
-C).(match e in C return (\lambda (_: C).B) with [(CSort _) \Rightarrow b1 |
-(CHead _ k _) \Rightarrow (match k in K return (\lambda (_: K).B) with [(Bind
-b) \Rightarrow b | (Flat _) \Rightarrow b1])])) (CHead d1 (Bind b1) v0)
+v0))).(let H3 \def (f_equal C C (\lambda (e: C).(match e with [(CSort _)
+\Rightarrow d1 | (CHead c _ _) \Rightarrow c])) (CHead d1 (Bind b1) v0)
(CHead c3 (Bind Void) v1) (clear_gen_bind Void c3 (CHead d1 (Bind b1) v0) v1
-H2)) in ((let H5 \def (f_equal C T (\lambda (e: C).(match e in C return
-(\lambda (_: C).T) with [(CSort _) \Rightarrow v0 | (CHead _ _ t) \Rightarrow
-t])) (CHead d1 (Bind b1) v0) (CHead c3 (Bind Void) v1) (clear_gen_bind Void
-c3 (CHead d1 (Bind b1) v0) v1 H2)) in (\lambda (_: (eq B b1 Void)).(\lambda
-(H7: (eq C d1 c3)).(eq_ind_r C c3 (\lambda (c: C).(ex2_3 B C T (\lambda (_:
-B).(\lambda (d2: C).(\lambda (_: T).(csubv c d2)))) (\lambda (b2: B).(\lambda
-(d2: C).(\lambda (v3: T).(clear (CHead c4 (Bind Void) v2) (CHead d2 (Bind b2)
-v3))))))) (ex2_3_intro B C T (\lambda (_: B).(\lambda (d2: C).(\lambda (_:
-T).(csubv c3 d2)))) (\lambda (b2: B).(\lambda (d2: C).(\lambda (v3: T).(clear
-(CHead c4 (Bind Void) v2) (CHead d2 (Bind b2) v3))))) Void c4 v2 H0
-(clear_bind Void c4 v2)) d1 H7)))) H4)) H3)))))))))))) (\lambda (c3:
-C).(\lambda (c4: C).(\lambda (H0: (csubv c3 c4)).(\lambda (_: ((\forall (b1:
-B).(\forall (d1: C).(\forall (v1: T).((clear c3 (CHead d1 (Bind b1) v1)) \to
-(ex2_3 B C T (\lambda (_: B).(\lambda (d2: C).(\lambda (_: T).(csubv d1
-d2)))) (\lambda (b2: B).(\lambda (d2: C).(\lambda (v2: T).(clear c4 (CHead d2
-(Bind b2) v2)))))))))))).(\lambda (b1: B).(\lambda (_: (not (eq B b1
-Void))).(\lambda (b2: B).(\lambda (v1: T).(\lambda (v2: T).(\lambda (b0:
-B).(\lambda (d1: C).(\lambda (v0: T).(\lambda (H3: (clear (CHead c3 (Bind b1)
-v1) (CHead d1 (Bind b0) v0))).(let H4 \def (f_equal C C (\lambda (e:
-C).(match e in C return (\lambda (_: C).C) with [(CSort _) \Rightarrow d1 |
-(CHead c _ _) \Rightarrow c])) (CHead d1 (Bind b0) v0) (CHead c3 (Bind b1)
-v1) (clear_gen_bind b1 c3 (CHead d1 (Bind b0) v0) v1 H3)) in ((let H5 \def
-(f_equal C B (\lambda (e: C).(match e in C return (\lambda (_: C).B) with
-[(CSort _) \Rightarrow b0 | (CHead _ k _) \Rightarrow (match k in K return
-(\lambda (_: K).B) with [(Bind b) \Rightarrow b | (Flat _) \Rightarrow
-b0])])) (CHead d1 (Bind b0) v0) (CHead c3 (Bind b1) v1) (clear_gen_bind b1 c3
-(CHead d1 (Bind b0) v0) v1 H3)) in ((let H6 \def (f_equal C T (\lambda (e:
-C).(match e in C return (\lambda (_: C).T) with [(CSort _) \Rightarrow v0 |
-(CHead _ _ t) \Rightarrow t])) (CHead d1 (Bind b0) v0) (CHead c3 (Bind b1)
-v1) (clear_gen_bind b1 c3 (CHead d1 (Bind b0) v0) v1 H3)) in (\lambda (_: (eq
-B b0 b1)).(\lambda (H8: (eq C d1 c3)).(eq_ind_r C c3 (\lambda (c: C).(ex2_3 B
-C T (\lambda (_: B).(\lambda (d2: C).(\lambda (_: T).(csubv c d2)))) (\lambda
+H2)) in ((let H4 \def (f_equal C B (\lambda (e: C).(match e with [(CSort _)
+\Rightarrow b1 | (CHead _ k _) \Rightarrow (match k with [(Bind b)
+\Rightarrow b | (Flat _) \Rightarrow b1])])) (CHead d1 (Bind b1) v0) (CHead
+c3 (Bind Void) v1) (clear_gen_bind Void c3 (CHead d1 (Bind b1) v0) v1 H2)) in
+((let H5 \def (f_equal C T (\lambda (e: C).(match e with [(CSort _)
+\Rightarrow v0 | (CHead _ _ t) \Rightarrow t])) (CHead d1 (Bind b1) v0)
+(CHead c3 (Bind Void) v1) (clear_gen_bind Void c3 (CHead d1 (Bind b1) v0) v1
+H2)) in (\lambda (_: (eq B b1 Void)).(\lambda (H7: (eq C d1 c3)).(eq_ind_r C
+c3 (\lambda (c: C).(ex2_3 B C T (\lambda (_: B).(\lambda (d2: C).(\lambda (_:
+T).(csubv c d2)))) (\lambda (b2: B).(\lambda (d2: C).(\lambda (v3: T).(clear
+(CHead c4 (Bind Void) v2) (CHead d2 (Bind b2) v3))))))) (ex2_3_intro B C T
+(\lambda (_: B).(\lambda (d2: C).(\lambda (_: T).(csubv c3 d2)))) (\lambda
+(b2: B).(\lambda (d2: C).(\lambda (v3: T).(clear (CHead c4 (Bind Void) v2)
+(CHead d2 (Bind b2) v3))))) Void c4 v2 H0 (clear_bind Void c4 v2)) d1 H7))))
+H4)) H3)))))))))))) (\lambda (c3: C).(\lambda (c4: C).(\lambda (H0: (csubv c3
+c4)).(\lambda (_: ((\forall (b1: B).(\forall (d1: C).(\forall (v1: T).((clear
+c3 (CHead d1 (Bind b1) v1)) \to (ex2_3 B C T (\lambda (_: B).(\lambda (d2:
+C).(\lambda (_: T).(csubv d1 d2)))) (\lambda (b2: B).(\lambda (d2:
+C).(\lambda (v2: T).(clear c4 (CHead d2 (Bind b2) v2)))))))))))).(\lambda
+(b1: B).(\lambda (_: (not (eq B b1 Void))).(\lambda (b2: B).(\lambda (v1:
+T).(\lambda (v2: T).(\lambda (b0: B).(\lambda (d1: C).(\lambda (v0:
+T).(\lambda (H3: (clear (CHead c3 (Bind b1) v1) (CHead d1 (Bind b0)
+v0))).(let H4 \def (f_equal C C (\lambda (e: C).(match e with [(CSort _)
+\Rightarrow d1 | (CHead c _ _) \Rightarrow c])) (CHead d1 (Bind b0) v0)
+(CHead c3 (Bind b1) v1) (clear_gen_bind b1 c3 (CHead d1 (Bind b0) v0) v1 H3))
+in ((let H5 \def (f_equal C B (\lambda (e: C).(match e with [(CSort _)
+\Rightarrow b0 | (CHead _ k _) \Rightarrow (match k with [(Bind b)
+\Rightarrow b | (Flat _) \Rightarrow b0])])) (CHead d1 (Bind b0) v0) (CHead
+c3 (Bind b1) v1) (clear_gen_bind b1 c3 (CHead d1 (Bind b0) v0) v1 H3)) in
+((let H6 \def (f_equal C T (\lambda (e: C).(match e with [(CSort _)
+\Rightarrow v0 | (CHead _ _ t) \Rightarrow t])) (CHead d1 (Bind b0) v0)
+(CHead c3 (Bind b1) v1) (clear_gen_bind b1 c3 (CHead d1 (Bind b0) v0) v1 H3))
+in (\lambda (_: (eq B b0 b1)).(\lambda (H8: (eq C d1 c3)).(eq_ind_r C c3
+(\lambda (c: C).(ex2_3 B C T (\lambda (_: B).(\lambda (d2: C).(\lambda (_:
+T).(csubv c d2)))) (\lambda (b3: B).(\lambda (d2: C).(\lambda (v3: T).(clear
+(CHead c4 (Bind b2) v2) (CHead d2 (Bind b3) v3))))))) (ex2_3_intro B C T
+(\lambda (_: B).(\lambda (d2: C).(\lambda (_: T).(csubv c3 d2)))) (\lambda
(b3: B).(\lambda (d2: C).(\lambda (v3: T).(clear (CHead c4 (Bind b2) v2)
-(CHead d2 (Bind b3) v3))))))) (ex2_3_intro B C T (\lambda (_: B).(\lambda
-(d2: C).(\lambda (_: T).(csubv c3 d2)))) (\lambda (b3: B).(\lambda (d2:
-C).(\lambda (v3: T).(clear (CHead c4 (Bind b2) v2) (CHead d2 (Bind b3)
-v3))))) b2 c4 v2 H0 (clear_bind b2 c4 v2)) d1 H8)))) H5)) H4)))))))))))))))
-(\lambda (c3: C).(\lambda (c4: C).(\lambda (_: (csubv c3 c4)).(\lambda (H1:
-((\forall (b1: B).(\forall (d1: C).(\forall (v1: T).((clear c3 (CHead d1
-(Bind b1) v1)) \to (ex2_3 B C T (\lambda (_: B).(\lambda (d2: C).(\lambda (_:
-T).(csubv d1 d2)))) (\lambda (b2: B).(\lambda (d2: C).(\lambda (v2: T).(clear
-c4 (CHead d2 (Bind b2) v2)))))))))))).(\lambda (f1: F).(\lambda (f2:
-F).(\lambda (v1: T).(\lambda (v2: T).(\lambda (b1: B).(\lambda (d1:
-C).(\lambda (v0: T).(\lambda (H2: (clear (CHead c3 (Flat f1) v1) (CHead d1
-(Bind b1) v0))).(let H_x \def (H1 b1 d1 v0 (clear_gen_flat f1 c3 (CHead d1
-(Bind b1) v0) v1 H2)) in (let H3 \def H_x in (ex2_3_ind B C T (\lambda (_:
+(CHead d2 (Bind b3) v3))))) b2 c4 v2 H0 (clear_bind b2 c4 v2)) d1 H8)))) H5))
+H4))))))))))))))) (\lambda (c3: C).(\lambda (c4: C).(\lambda (_: (csubv c3
+c4)).(\lambda (H1: ((\forall (b1: B).(\forall (d1: C).(\forall (v1:
+T).((clear c3 (CHead d1 (Bind b1) v1)) \to (ex2_3 B C T (\lambda (_:
B).(\lambda (d2: C).(\lambda (_: T).(csubv d1 d2)))) (\lambda (b2:
-B).(\lambda (d2: C).(\lambda (v3: T).(clear c4 (CHead d2 (Bind b2) v3)))))
-(ex2_3 B C T (\lambda (_: B).(\lambda (d2: C).(\lambda (_: T).(csubv d1
-d2)))) (\lambda (b2: B).(\lambda (d2: C).(\lambda (v3: T).(clear (CHead c4
-(Flat f2) v2) (CHead d2 (Bind b2) v3)))))) (\lambda (x0: B).(\lambda (x1:
-C).(\lambda (x2: T).(\lambda (H4: (csubv d1 x1)).(\lambda (H5: (clear c4
-(CHead x1 (Bind x0) x2))).(ex2_3_intro B C T (\lambda (_: B).(\lambda (d2:
+B).(\lambda (d2: C).(\lambda (v2: T).(clear c4 (CHead d2 (Bind b2)
+v2)))))))))))).(\lambda (f1: F).(\lambda (f2: F).(\lambda (v1: T).(\lambda
+(v2: T).(\lambda (b1: B).(\lambda (d1: C).(\lambda (v0: T).(\lambda (H2:
+(clear (CHead c3 (Flat f1) v1) (CHead d1 (Bind b1) v0))).(let H_x \def (H1 b1
+d1 v0 (clear_gen_flat f1 c3 (CHead d1 (Bind b1) v0) v1 H2)) in (let H3 \def
+H_x in (ex2_3_ind B C T (\lambda (_: B).(\lambda (d2: C).(\lambda (_:
+T).(csubv d1 d2)))) (\lambda (b2: B).(\lambda (d2: C).(\lambda (v3: T).(clear
+c4 (CHead d2 (Bind b2) v3))))) (ex2_3 B C T (\lambda (_: B).(\lambda (d2:
C).(\lambda (_: T).(csubv d1 d2)))) (\lambda (b2: B).(\lambda (d2:
C).(\lambda (v3: T).(clear (CHead c4 (Flat f2) v2) (CHead d2 (Bind b2)
-v3))))) x0 x1 x2 H4 (clear_flat c4 (CHead x1 (Bind x0) x2) H5 f2 v2)))))))
-H3))))))))))))))) c1 c2 H))).
-(* COMMENTS
-Initial nodes: 1357
-END *)
+v3)))))) (\lambda (x0: B).(\lambda (x1: C).(\lambda (x2: T).(\lambda (H4:
+(csubv d1 x1)).(\lambda (H5: (clear c4 (CHead x1 (Bind x0) x2))).(ex2_3_intro
+B C T (\lambda (_: B).(\lambda (d2: C).(\lambda (_: T).(csubv d1 d2))))
+(\lambda (b2: B).(\lambda (d2: C).(\lambda (v3: T).(clear (CHead c4 (Flat f2)
+v2) (CHead d2 (Bind b2) v3))))) x0 x1 x2 H4 (clear_flat c4 (CHead x1 (Bind
+x0) x2) H5 f2 v2))))))) H3))))))))))))))) c1 c2 H))).
theorem csubv_clear_conf_void:
\forall (c1: C).(\forall (c2: C).((csubv c1 c2) \to (\forall (d1:
T).(csubv d1 d2))) (\lambda (d2: C).(\lambda (v2: T).(clear c4 (CHead d2
(Bind Void) v2)))))))))).(\lambda (v1: T).(\lambda (v2: T).(\lambda (d1:
C).(\lambda (v0: T).(\lambda (H2: (clear (CHead c3 (Bind Void) v1) (CHead d1
-(Bind Void) v0))).(let H3 \def (f_equal C C (\lambda (e: C).(match e in C
-return (\lambda (_: C).C) with [(CSort _) \Rightarrow d1 | (CHead c _ _)
-\Rightarrow c])) (CHead d1 (Bind Void) v0) (CHead c3 (Bind Void) v1)
-(clear_gen_bind Void c3 (CHead d1 (Bind Void) v0) v1 H2)) in ((let H4 \def
-(f_equal C T (\lambda (e: C).(match e in C return (\lambda (_: C).T) with
+(Bind Void) v0))).(let H3 \def (f_equal C C (\lambda (e: C).(match e with
+[(CSort _) \Rightarrow d1 | (CHead c _ _) \Rightarrow c])) (CHead d1 (Bind
+Void) v0) (CHead c3 (Bind Void) v1) (clear_gen_bind Void c3 (CHead d1 (Bind
+Void) v0) v1 H2)) in ((let H4 \def (f_equal C T (\lambda (e: C).(match e with
[(CSort _) \Rightarrow v0 | (CHead _ _ t) \Rightarrow t])) (CHead d1 (Bind
Void) v0) (CHead c3 (Bind Void) v1) (clear_gen_bind Void c3 (CHead d1 (Bind
Void) v0) v1 H2)) in (\lambda (H5: (eq C d1 c3)).(eq_ind_r C c3 (\lambda (c:
(b1: B).(\lambda (H2: (not (eq B b1 Void))).(\lambda (b2: B).(\lambda (v1:
T).(\lambda (v2: T).(\lambda (d1: C).(\lambda (v0: T).(\lambda (H3: (clear
(CHead c3 (Bind b1) v1) (CHead d1 (Bind Void) v0))).(let H4 \def (f_equal C C
-(\lambda (e: C).(match e in C return (\lambda (_: C).C) with [(CSort _)
-\Rightarrow d1 | (CHead c _ _) \Rightarrow c])) (CHead d1 (Bind Void) v0)
-(CHead c3 (Bind b1) v1) (clear_gen_bind b1 c3 (CHead d1 (Bind Void) v0) v1
-H3)) in ((let H5 \def (f_equal C B (\lambda (e: C).(match e in C return
-(\lambda (_: C).B) with [(CSort _) \Rightarrow Void | (CHead _ k _)
-\Rightarrow (match k in K return (\lambda (_: K).B) with [(Bind b)
-\Rightarrow b | (Flat _) \Rightarrow Void])])) (CHead d1 (Bind Void) v0)
-(CHead c3 (Bind b1) v1) (clear_gen_bind b1 c3 (CHead d1 (Bind Void) v0) v1
-H3)) in ((let H6 \def (f_equal C T (\lambda (e: C).(match e in C return
-(\lambda (_: C).T) with [(CSort _) \Rightarrow v0 | (CHead _ _ t) \Rightarrow
-t])) (CHead d1 (Bind Void) v0) (CHead c3 (Bind b1) v1) (clear_gen_bind b1 c3
-(CHead d1 (Bind Void) v0) v1 H3)) in (\lambda (H7: (eq B Void b1)).(\lambda
-(H8: (eq C d1 c3)).(eq_ind_r C c3 (\lambda (c: C).(ex2_2 C T (\lambda (d2:
-C).(\lambda (_: T).(csubv c d2))) (\lambda (d2: C).(\lambda (v3: T).(clear
-(CHead c4 (Bind b2) v2) (CHead d2 (Bind Void) v3)))))) (let H9 \def (eq_ind_r
-B b1 (\lambda (b: B).(not (eq B b Void))) H2 Void H7) in (let H10 \def (match
-(H9 (refl_equal B Void)) in False return (\lambda (_: False).(ex2_2 C T
-(\lambda (d2: C).(\lambda (_: T).(csubv c3 d2))) (\lambda (d2: C).(\lambda
-(v3: T).(clear (CHead c4 (Bind b2) v2) (CHead d2 (Bind Void) v3)))))) with
-[]) in H10)) d1 H8)))) H5)) H4)))))))))))))) (\lambda (c3: C).(\lambda (c4:
-C).(\lambda (_: (csubv c3 c4)).(\lambda (H1: ((\forall (d1: C).(\forall (v1:
-T).((clear c3 (CHead d1 (Bind Void) v1)) \to (ex2_2 C T (\lambda (d2:
-C).(\lambda (_: T).(csubv d1 d2))) (\lambda (d2: C).(\lambda (v2: T).(clear
-c4 (CHead d2 (Bind Void) v2)))))))))).(\lambda (f1: F).(\lambda (f2:
-F).(\lambda (v1: T).(\lambda (v2: T).(\lambda (d1: C).(\lambda (v0:
-T).(\lambda (H2: (clear (CHead c3 (Flat f1) v1) (CHead d1 (Bind Void)
-v0))).(let H_x \def (H1 d1 v0 (clear_gen_flat f1 c3 (CHead d1 (Bind Void) v0)
-v1 H2)) in (let H3 \def H_x in (ex2_2_ind C T (\lambda (d2: C).(\lambda (_:
-T).(csubv d1 d2))) (\lambda (d2: C).(\lambda (v3: T).(clear c4 (CHead d2
-(Bind Void) v3)))) (ex2_2 C T (\lambda (d2: C).(\lambda (_: T).(csubv d1
-d2))) (\lambda (d2: C).(\lambda (v3: T).(clear (CHead c4 (Flat f2) v2) (CHead
-d2 (Bind Void) v3))))) (\lambda (x0: C).(\lambda (x1: T).(\lambda (H4: (csubv
-d1 x0)).(\lambda (H5: (clear c4 (CHead x0 (Bind Void) x1))).(ex2_2_intro C T
+(\lambda (e: C).(match e with [(CSort _) \Rightarrow d1 | (CHead c _ _)
+\Rightarrow c])) (CHead d1 (Bind Void) v0) (CHead c3 (Bind b1) v1)
+(clear_gen_bind b1 c3 (CHead d1 (Bind Void) v0) v1 H3)) in ((let H5 \def
+(f_equal C B (\lambda (e: C).(match e with [(CSort _) \Rightarrow Void |
+(CHead _ k _) \Rightarrow (match k with [(Bind b) \Rightarrow b | (Flat _)
+\Rightarrow Void])])) (CHead d1 (Bind Void) v0) (CHead c3 (Bind b1) v1)
+(clear_gen_bind b1 c3 (CHead d1 (Bind Void) v0) v1 H3)) in ((let H6 \def
+(f_equal C T (\lambda (e: C).(match e with [(CSort _) \Rightarrow v0 | (CHead
+_ _ t) \Rightarrow t])) (CHead d1 (Bind Void) v0) (CHead c3 (Bind b1) v1)
+(clear_gen_bind b1 c3 (CHead d1 (Bind Void) v0) v1 H3)) in (\lambda (H7: (eq
+B Void b1)).(\lambda (H8: (eq C d1 c3)).(eq_ind_r C c3 (\lambda (c: C).(ex2_2
+C T (\lambda (d2: C).(\lambda (_: T).(csubv c d2))) (\lambda (d2: C).(\lambda
+(v3: T).(clear (CHead c4 (Bind b2) v2) (CHead d2 (Bind Void) v3)))))) (let H9
+\def (eq_ind_r B b1 (\lambda (b: B).(not (eq B b Void))) H2 Void H7) in (let
+H10 \def (match (H9 (refl_equal B Void)) in False with []) in H10)) d1 H8))))
+H5)) H4)))))))))))))) (\lambda (c3: C).(\lambda (c4: C).(\lambda (_: (csubv
+c3 c4)).(\lambda (H1: ((\forall (d1: C).(\forall (v1: T).((clear c3 (CHead d1
+(Bind Void) v1)) \to (ex2_2 C T (\lambda (d2: C).(\lambda (_: T).(csubv d1
+d2))) (\lambda (d2: C).(\lambda (v2: T).(clear c4 (CHead d2 (Bind Void)
+v2)))))))))).(\lambda (f1: F).(\lambda (f2: F).(\lambda (v1: T).(\lambda (v2:
+T).(\lambda (d1: C).(\lambda (v0: T).(\lambda (H2: (clear (CHead c3 (Flat f1)
+v1) (CHead d1 (Bind Void) v0))).(let H_x \def (H1 d1 v0 (clear_gen_flat f1 c3
+(CHead d1 (Bind Void) v0) v1 H2)) in (let H3 \def H_x in (ex2_2_ind C T
(\lambda (d2: C).(\lambda (_: T).(csubv d1 d2))) (\lambda (d2: C).(\lambda
-(v3: T).(clear (CHead c4 (Flat f2) v2) (CHead d2 (Bind Void) v3)))) x0 x1 H4
-(clear_flat c4 (CHead x0 (Bind Void) x1) H5 f2 v2)))))) H3)))))))))))))) c1
-c2 H))).
-(* COMMENTS
-Initial nodes: 1205
-END *)
+(v3: T).(clear c4 (CHead d2 (Bind Void) v3)))) (ex2_2 C T (\lambda (d2:
+C).(\lambda (_: T).(csubv d1 d2))) (\lambda (d2: C).(\lambda (v3: T).(clear
+(CHead c4 (Flat f2) v2) (CHead d2 (Bind Void) v3))))) (\lambda (x0:
+C).(\lambda (x1: T).(\lambda (H4: (csubv d1 x0)).(\lambda (H5: (clear c4
+(CHead x0 (Bind Void) x1))).(ex2_2_intro C T (\lambda (d2: C).(\lambda (_:
+T).(csubv d1 d2))) (\lambda (d2: C).(\lambda (v3: T).(clear (CHead c4 (Flat
+f2) v2) (CHead d2 (Bind Void) v3)))) x0 x1 H4 (clear_flat c4 (CHead x0 (Bind
+Void) x1) H5 f2 v2)))))) H3)))))))))))))) c1 c2 H))).