milestone update in ground, partial commit

[helm.git] / matita / matita / contribs / lambdadelta / ground / wf_ind / wf1_ind_nlt.ma

diff --git a/matita/matita/contribs/lambdadelta/ground/wf_ind/wf1_ind_nlt.ma b/matita/matita/contribs/lambdadelta/ground/wf_ind/wf1_ind_nlt.ma
deleted file mode 100644 (file)
index 352bbfd..0000000
--- a/matita/matita/contribs/lambdadelta/ground/wf_ind/wf1_ind_nlt.ma
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||M||                                                             *)
-(*      ||A||       A project by Andrea Asperti                           *)
-(*      ||T||                                                             *)
-(*      ||I||       Developers:                                           *)
-(*      ||T||         The HELM team.                                      *)
-(*      ||A||         http://helm.cs.unibo.it                             *)
-(*      \   /                                                             *)
-(*       \ /        This file is distributed under the terms of the       *)
-(*        v         GNU General Public License Version 2                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-include "ground/arith/nat_lt.ma".
-
-(* WELL-FOUNDED INDUCTION ***************************************************)
-
-fact wf1_ind_nlt_aux (A1) (f:A1→nat) (Q:predicate …):
-     (∀n. (∀a1. f a1 < n → Q a1) → ∀a1. f a1 = n → Q a1) →
-     ∀n,a1. f a1 = n → Q a1.
-#A1 #f #Q #H #n @(nat_ind_lt … n) -n /3 width=3 by/
-qed-.
-
-(*** f_ind *)
-lemma wf1_ind_nlt (A1) (f:A1→nat) (Q:predicate …):
-      (∀n. (∀a1. f a1 < n → Q a1) → ∀a1. f a1 = n → Q a1) →
-      ∀a1. Q a1.
-#A #f #Q #H #a1 @(wf1_ind_nlt_aux … H) -H //
-qed-.