matita/matita/tests/assumption.ma

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  14
  15
  16 include "coq.ma".
  17
  18 alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
  19 alias num (instance 0) = "Coq 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