helm/software/matita/tests/decompose.ma

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  14
  15 set "baseuri" "cic:/matita/tests/decompose".
  16
  17 include "logic/connectives.ma".
  18
  19 theorem stupid:
  20   \forall a,b,c:Prop.
  21   (a \land c \lor b \land c) \to (c \land (b \lor a)).
  22   intros.decompose.split.assumption.right.assumption.
  23   split.assumption.left.assumption.qed.
  24
  25 definition MyFalse \def False.
  26
  27 theorem ex_falso_quodlibet: \forall (P:Prop). MyFalse \to P.
  28  intros. decompose.
  29 qed.