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better test for church numerals
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14
15 set "baseuri" "cic:/matita/tests/assumption".
16 include "../legacy/coq.ma".
17
18 alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
19 alias num (instance 0) = "natural number".
20 alias symbol "and" (instance 0) = "Coq's logical and".
21 alias symbol "eq" (instance 0) = "Coq's leibnitz's equality".
22 alias symbol "plus" (instance 0) = "Coq's natural plus".
23
24
25 theorem stupid:
26   \forall a: 0 = 0.
27   \forall b: 3 + 2 = 5.
28   \forall c: (\lambda x:nat.x) 3 = 3.
29   0=0 \land 3 + 2 = 5 \land 3 = 3.
30 intros.
31 split.
32 split.
33 clear H2. clear H1. 
34 assumption.
35 clear H.
36 assumption.
37 assumption.
38 qed.
39