matita/matita/contribs/lambdadelta/basic_1/ex0/defs.ma

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  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 include "basic_1/A/defs.ma".
  18
  19 include "basic_1/G/defs.ma".
  20
  21 definition gz:
  22  G
  23 \def
  24  mk_G S lt_n_Sn.
  25
  26 inductive leqz: A \to (A \to Prop) \def
  27 | leqz_sort: \forall (h1: nat).(\forall (h2: nat).(\forall (n1: nat).(\forall
  28 (n2: nat).((eq nat (plus h1 n2) (plus h2 n1)) \to (leqz (ASort h1 n1) (ASort
  29 h2 n2))))))
  30 | leqz_head: \forall (a1: A).(\forall (a2: A).((leqz a1 a2) \to (\forall (a3:
  31 A).(\forall (a4: A).((leqz a3 a4) \to (leqz (AHead a1 a3) (AHead a2 a4))))))).
  32