matita/contribs/LAMBDA-TYPES/Unified-Sub/preamble4.ma

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   5 (*      ||T||                                                             *)
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  14
  15 (* Project started Tue Aug 22, 2006 ***************************************)
  16
  17
  18
  19 (* PREAMBLE
  20 *)
  21
  22 include "logic/equality.ma".
  23 include "datatypes/Bool.ma".
  24 include "NPlus/monoid.ma".
  25 include "NLE/props.ma".
  26 include "NLE/nplus.ma".
  27
  28 axiom f_equal_3: \forall (A,B,C,D:Set).
  29                  \forall (f:A \to B \to C \to D).
  30                  \forall (x1,x2:A).
  31                  \forall (y1,y2:B).
  32                  \forall (z1,z2:C).
  33                  x1 = x2 \to y1 = y2 \to z1 = z2 \to
  34                  f x1 y1 z1 = f x2 y2 z2.