helm/software/matita/contribs/dama/dama/models/nat_ordered_uniform.ma

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  14
  15 include "models/nat_uniform.ma".
  16 include "bishop_set_rewrite.ma".
  17 include "ordered_uniform.ma".
  18
  19 definition nat_ordered_uniform_space:ordered_uniform_space.
  20  apply (mk_ordered_uniform_space (mk_ordered_uniform_space_ ℕ ℕ (refl_eq ? ℕ)));
  21 simplify; intros 7; cases H3;
  22 cases H (_); cases (H8 y); apply H9; cases (H8 p);
  23 lapply (H12 H1) as H13; apply (le_le_eq);
  24 [1: apply (le_transitive ???? H4); apply (Le≪ ? H13); assumption;
  25 |2: apply (le_transitive ????? H5); apply (Le≫ (\snd p) H13); assumption;]
  26 qed.
  27
  28 interpretation "Ordered uniform space N" 'N = nat_ordered_uniform_space.