We are decapitalizing the contributions' names ...

[helm.git] / matita / matita / contribs / lambda_delta / Basic_2 / reducibility / tnf_tif.ma

diff --git a/matita/matita/contribs/lambda_delta/Basic_2/reducibility/tnf_tif.ma b/matita/matita/contribs/lambda_delta/Basic_2/reducibility/tnf_tif.ma
deleted file mode 100644 (file)
index 2888ff9..0000000
--- a/matita/matita/contribs/lambda_delta/Basic_2/reducibility/tnf_tif.ma
+++ /dev/null
@@ -1,74 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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 "Basic_2/substitution/tps_lift.ma".
-include "Basic_2/reducibility/tif.ma".
-include "Basic_2/reducibility/tnf.ma".
-
-(* CONTEXT-FREE NORMAL TERMS ************************************************)
-
-(* Main properties properties ***********************************************)
-
-lemma tpr_tif_eq: ∀T1,T2. T1 ➡ T2 →  𝐈[T1] → T1 = T2.
-#T1 #T2 #H elim H -T1 -T2
-[ //
-| * #V1 #V2 #T1 #T2 #_ #_ #IHV1 #IHT1 #H
-  [ elim (tif_inv_appl … H) -H #HV1 #HT1 #_
-    >IHV1 -IHV1 // -HV1 >IHT1 -IHT1 //
-  | elim (tif_inv_cast … H)
-  ]
-| #V1 #V2 #W #T1 #T2 #_ #_ #_ #_ #H
-  elim (tif_inv_appl … H) -H #_ #_ #H
-  elim (simple_inv_bind … H)
-| * #V1 #V2 #T1 #T #T2 #_ #_ #HT2 #IHV1 #IHT1 #H
-  [ -HT2 -IHV1 -IHT1 elim (tif_inv_abbr … H)
-  | <(tps_inv_refl_SO2 … HT2 ?) -HT2 //
-    elim (tif_inv_abst … H) -H #HV1 #HT1
-    >IHV1 -IHV1 // -HV1 >IHT1 -IHT1 //
-  ]
-| #V #V1 #V2 #W1 #W2 #T1 #T2 #_ #_ #_ #_ #_ #_ #_ #H
-  elim (tif_inv_appl … H) -H #_ #_ #H
-  elim (simple_inv_bind … H)
-| #V1 #T1 #T2 #T #_ #_ #_ #H
-  elim (tif_inv_abbr … H)
-| #V1 #T1 #T #_ #_ #H
-  elim (tif_inv_cast … H)
-]
-qed.
-
-theorem tif_tnf: ∀T1.  𝐈[T1] → 𝐍[T1].
-/2 width=1/ qed.
-
-(* Note: this property is unusual *)
-lemma tnf_trf_false: ∀T1. 𝐑[T1] → 𝐍[T1] → False.
-#T1 #H elim H -T1
-[ #V #T #_ #IHV #H elim (tnf_inv_abst … H) -H /2 width=1/
-| #V #T #_ #IHT #H elim (tnf_inv_abst … H) -H /2 width=1/
-| #V #T #_ #IHV #H elim (tnf_inv_appl … H) -H /2 width=1/
-| #V #T #_ #IHV #H elim (tnf_inv_appl … H) -H /2 width=1/
-| #V #T #H elim (tnf_inv_abbr … H)
-| #V #T #H elim (tnf_inv_cast … H)
-| #V #W #T #H elim (tnf_inv_appl … H) -H #_ #_ #H
-  elim (simple_inv_bind … H)
-]
-qed.
-
-theorem tnf_tif: ∀T1. 𝐍[T1] → 𝐈[T1].
-/2 width=3/ qed.
-
-lemma tnf_abst: ∀V,T. 𝐍[V] → 𝐍[T] → 𝐍[ⓛV.T].
-/4 width=1/ qed.
-
-lemma tnf_appl: ∀V,T. 𝐍[V] → 𝐍[T] → 𝐒[T] → 𝐍[ⓐV.T].
-/4 width=1/ qed.