- csx_cnx_vector.ma completed

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / cpxs_etc.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_etc.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_etc.ma
index a28b01e54be3195e3a4b3c2a9b39977f38a959c9..0340000b950e31630a5a420bbb84a9941fb6b43e 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_etc.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_etc.ma
@@ -5,21 +5,6 @@ include "basic_2/rt_computation/cpxs_cpxs.ma".
 
 (* Properties on sn extended parallel reduction for local environments ******)
 
-lemma lpx_cpx_trans: ∀h,G. b_c_transitive … (cpx h G) (λ_.lpx h G).
-#h #G #L2 #T1 #T2 #HT12 elim HT12 -G -L2 -T1 -T2
-[ /2 width=3 by/
-| /3 width=2 by cpx_cpxs, cpx_st/
-| #I #G #L2 #K2 #V0 #V2 #W2 #i #HLK2 #_ #HVW2 #IHV02 #L1 #HL12
-  elim (lpx_drop_trans_O1 … HL12 … HLK2) -L2 #X #HLK1 #H
-  elim (lpx_inv_pair2 … H) -H #K1 #V1 #HK12 #HV10 #H destruct
-  /4 width=7 by cpxs_delta, cpxs_strap2/
-|4,9: /4 width=1 by cpxs_beta, cpxs_bind, lpx_pair/
-|5,7,8: /3 width=1 by cpxs_flat, cpxs_ct, cpxs_eps/
-| /4 width=3 by cpxs_zeta, lpx_pair/
-| /4 width=3 by cpxs_theta, cpxs_strap1, lpx_pair/
-]
-qed-.
-
 lemma cpx_bind2: ∀h,o,G,L,V1,V2. ⦃G, L⦄ ⊢ V1 ⬈[h, o] V2 →
                  ∀I,T1,T2. ⦃G, L.ⓑ{I}V2⦄ ⊢ T1 ⬈[h, o] T2 →
                  ∀a. ⦃G, L⦄ ⊢ ⓑ{a,I}V1.T1 ⬈*[h, o] ⓑ{a,I}V2.T2.
@@ -27,10 +12,6 @@ lemma cpx_bind2: ∀h,o,G,L,V1,V2. ⦃G, L⦄ ⊢ V1 ⬈[h, o] V2 →
 
 (* Advanced properties ******************************************************)
 
-lemma lpx_cpxs_trans: ∀h,o,G. b_rs_transitive … (cpx h o G) (λ_.lpx h o G).
-#h #o #G @b_c_trans_LTC1 /2 width=3 by lpx_cpx_trans/ (**) (* full auto fails *)
-qed-.
-
 lemma cpxs_bind2_dx: ∀h,o,G,L,V1,V2. ⦃G, L⦄ ⊢ V1 ⬈[h, o] V2 →
                      ∀I,T1,T2. ⦃G, L.ⓑ{I}V2⦄ ⊢ T1 ⬈*[h, o] T2 →
                      ∀a. ⦃G, L⦄ ⊢ ⓑ{a,I}V1.T1 ⬈*[h, o] ⓑ{a,I}V2.T2.