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17 set "baseuri" "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/csub3/defs".
19 include "ty3/defs.ma".
21 inductive csub3 (g:G): C \to (C \to Prop) \def
22 | csub3_sort: \forall (n: nat).(csub3 g (CSort n) (CSort n))
23 | csub3_head: \forall (c1: C).(\forall (c2: C).((csub3 g c1 c2) \to (\forall
24 (k: K).(\forall (u: T).(csub3 g (CHead c1 k u) (CHead c2 k u))))))
25 | csub3_void: \forall (c1: C).(\forall (c2: C).((csub3 g c1 c2) \to (\forall
26 (b: B).((not (eq B b Void)) \to (\forall (u1: T).(\forall (u2: T).(csub3 g
27 (CHead c1 (Bind Void) u1) (CHead c2 (Bind b) u2))))))))
28 | csub3_abst: \forall (c1: C).(\forall (c2: C).((csub3 g c1 c2) \to (\forall
29 (u: T).(\forall (t: T).((ty3 g c2 u t) \to (csub3 g (CHead c1 (Bind Abst) t)
30 (CHead c2 (Bind Abbr) u))))))).