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17 include "basic_1A/csubv/defs.ma".
19 include "basic_1A/C/fwd.ma".
21 include "basic_1A/T/props.ma".
23 lemma csubv_bind_same:
24 \forall (c1: C).(\forall (c2: C).((csubv c1 c2) \to (\forall (b: B).(\forall
25 (v1: T).(\forall (v2: T).(csubv (CHead c1 (Bind b) v1) (CHead c2 (Bind b)
28 \lambda (c1: C).(\lambda (c2: C).(\lambda (H: (csubv c1 c2)).(\lambda (b:
29 B).(B_ind (\lambda (b0: B).(\forall (v1: T).(\forall (v2: T).(csubv (CHead c1
30 (Bind b0) v1) (CHead c2 (Bind b0) v2))))) (\lambda (v1: T).(\lambda (v2:
31 T).(csubv_bind c1 c2 H Abbr not_abbr_void Abbr v1 v2))) (\lambda (v1:
32 T).(\lambda (v2: T).(csubv_bind c1 c2 H Abst not_abst_void Abst v1 v2)))
33 (\lambda (v1: T).(\lambda (v2: T).(csubv_void c1 c2 H v1 v2))) b)))).
36 \forall (c: C).(csubv c c)
38 \lambda (c: C).(C_ind (\lambda (c0: C).(csubv c0 c0)) (\lambda (n:
39 nat).(csubv_sort n)) (\lambda (c0: C).(\lambda (H: (csubv c0 c0)).(\lambda
40 (k: K).(K_ind (\lambda (k0: K).(\forall (t: T).(csubv (CHead c0 k0 t) (CHead
41 c0 k0 t)))) (\lambda (b: B).(\lambda (t: T).(csubv_bind_same c0 c0 H b t t)))
42 (\lambda (f: F).(\lambda (t: T).(csubv_flat c0 c0 H f f t t))) k)))) c).