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15 (* This file was automatically generated: do not edit *********************)
17 set "baseuri" "cic:/matita/LAMBDA-TYPES/LambdaDelta-1/csubc/arity".
19 include "csubc/csuba.ma".
21 include "arity/defs.ma".
23 theorem csubc_arity_conf:
24 \forall (g: G).(\forall (c1: C).(\forall (c2: C).((csubc g c1 c2) \to
25 (\forall (t: T).(\forall (a: A).((arity g c1 t a) \to (arity g c2 t a)))))))
27 \lambda (g: G).(\lambda (c1: C).(\lambda (c2: C).(\lambda (H: (csubc g c1
28 c2)).(\lambda (t: T).(\lambda (a: A).(\lambda (H0: (arity g c1 t
29 a)).(csuba_arity g c1 t a H0 c2 (csubc_csuba g c1 c2 H)))))))).
31 theorem csubc_arity_trans:
32 \forall (g: G).(\forall (c1: C).(\forall (c2: C).((csubc g c1 c2) \to
33 (\forall (t: T).(\forall (a: A).((arity g c2 t a) \to (arity g c1 t a)))))))
35 \lambda (g: G).(\lambda (c1: C).(\lambda (c2: C).(\lambda (H: (csubc g c1
36 c2)).(\lambda (t: T).(\lambda (a: A).(\lambda (H0: (arity g c2 t
37 a)).(csuba_arity_rev g c2 t a H0 c1 (csubc_csuba g c1 c2 H)))))))).