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14
15
16
17 include "logic/equality.ma".
18
19 axiom T1 : Type.
20 axiom X : Type.
21 axiom x : X.
22 definition T2 : Type := T1.
23 definition T3 : Type := T2.
24 axiom t3 : T3.
25 axiom c : T2 -> X -> X.
26
27 coercion cic:/matita/tests/overred/c.con 1.
28
29 axiom daemon : c t3 x = x. 
30
31 theorem find_a_coercion_from_T2_for_a_term_in_T3 : (* c *) t3 x = x.
32 apply daemon.
33 qed.