notational change of lift, drop, and gget

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / csx_lpx.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/csx_lpx.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/csx_lpx.ma
index 80755fc0b0109db9110f6dc306964cfa3ed18a04..b87a08bb446339a2abfb702e8732c10d564a2522 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/csx_lpx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/csx_lpx.ma
@@ -12,7 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/grammar/tstc_tstc.ma".
+include "basic_2/grammar/tsts_tsts.ma".
 include "basic_2/computation/cpxs_cpxs.ma".
 include "basic_2/computation/csx_alt.ma".
 include "basic_2/computation/csx_lift.ma".
@@ -64,10 +64,10 @@ elim (cpx_inv_appl1 … H1) -H1 *
 [ -HT1 #V0 #Y #HLV0 #H #H0 destruct
   elim (cpx_inv_abst1 … H) -H #W0 #T0 #HLW0 #HLT0 #H destruct
   @IHT1 -IHT1 [4: // | skip |3: #H destruct /2 width=1 by/ ] -H2
-  lapply (lsubr_cpx_trans … HLT0 (L.ⓓⓝW.V) ?) -HLT0 /3 width=1 by cpx_bind, cpx_flat, lsubr_abst/
+  lapply (lsubr_cpx_trans … HLT0 (L.ⓓⓝW.V) ?) -HLT0 /3 width=1 by cpx_bind, cpx_flat, lsubr_beta/
 | -IHT1 -H2 #b #V0 #W0 #W2 #T0 #T2 #HLV0 #HLW02 #HLT02 #H1 #H3 destruct
   lapply (lsubr_cpx_trans … HLT02 (L.ⓓⓝW0.V) ?) -HLT02
-  /4 width=5 by csx_cpx_trans, cpx_bind, cpx_flat, lsubr_abst/
+  /4 width=5 by csx_cpx_trans, cpx_bind, cpx_flat, lsubr_beta/
 | -HT1 -IHT1 -H2 #b #V0 #V1 #W0 #W1 #T0 #T3 #_ #_ #_ #_ #H destruct
 ]
 qed-.
@@ -76,7 +76,7 @@ qed-.
 lemma csx_appl_beta: ∀h,g,a,G,L,V,W,T. ⦃G, L⦄ ⊢ ⬊*[h, g] ⓓ{a}ⓝW.V.T → ⦃G, L⦄ ⊢ ⬊*[h, g] ⓐV.ⓛ{a}W.T.
 /2 width=3 by csx_appl_beta_aux/ qed.
 
-fact csx_appl_theta_aux: â\88\80h,g,a,G,L,U. â¦\83G, Lâ¦\84 â\8a¢ â¬\8a*[h, g] U â\86\92 â\88\80V1,V2. â\87§[0, 1] V1 ≡ V2 →
+fact csx_appl_theta_aux: â\88\80h,g,a,G,L,U. â¦\83G, Lâ¦\84 â\8a¢ â¬\8a*[h, g] U â\86\92 â\88\80V1,V2. â¬\86[0, 1] V1 ≡ V2 →
                          ∀V,T. U = ⓓ{a}V.ⓐV2.T → ⦃G, L⦄ ⊢ ⬊*[h, g] ⓐV1.ⓓ{a}V.T.
 #h #g #a #G #L #X #H @(csx_ind_alt … H) -X #X #HVT #IHVT #V1 #V2 #HV12 #V #T #H destruct
 lapply (csx_fwd_pair_sn … HVT) #HV
@@ -113,12 +113,12 @@ elim (cpx_inv_appl1 … HL) -HL *
 ]
 qed-.
 
-lemma csx_appl_theta: â\88\80h,g,a,V1,V2. â\87§[0, 1] V1 ≡ V2 →
+lemma csx_appl_theta: â\88\80h,g,a,V1,V2. â¬\86[0, 1] V1 ≡ V2 →
                       ∀G,L,V,T. ⦃G, L⦄ ⊢ ⬊*[h, g] ⓓ{a}V.ⓐV2.T → ⦃G, L⦄ ⊢ ⬊*[h, g] ⓐV1.ⓓ{a}V.T.
 /2 width=5 by csx_appl_theta_aux/ qed.
 
 (* Basic_1: was just: sn3_appl_appl *)
-lemma csx_appl_simple_tstc: ∀h,g,G,L,V. ⦃G, L⦄ ⊢ ⬊*[h, g] V → ∀T1. ⦃G, L⦄ ⊢ ⬊*[h, g] T1 →
+lemma csx_appl_simple_tsts: ∀h,g,G,L,V. ⦃G, L⦄ ⊢ ⬊*[h, g] V → ∀T1. ⦃G, L⦄ ⊢ ⬊*[h, g] T1 →
                             (∀T2. ⦃G, L⦄ ⊢ T1 ➡*[h, g] T2 → (T1 ≂ T2 → ⊥) → ⦃G, L⦄ ⊢ ⬊*[h, g] ⓐV.T2) →
                             𝐒⦃T1⦄ → ⦃G, L⦄ ⊢ ⬊*[h, g] ⓐV.T1.
 #h #g #G #L #V #H @(csx_ind … H) -V #V #_ #IHV #T1 #H @(csx_ind … H) -T1 #T1 #H1T1 #IHT1 #H2T1 #H3T1
@@ -130,8 +130,8 @@ elim (eq_false_inv_tpair_sn … H) -H
   @(csx_cpx_trans … (ⓐV0.T1)) /2 width=1 by cpx_flat/ -HLT10
   @IHV -IHV /4 width=3 by csx_cpx_trans, cpx_pair_sn/
 | -IHV -H1T1 -HLV0 * #H #H1T10 destruct
-  elim (tstc_dec T1 T0) #H2T10
-  [ @IHT1 -IHT1 /4 width=3 by cpxs_strap2, cpxs_strap1, tstc_canc_sn, simple_tstc_repl_dx/
+  elim (tsts_dec T1 T0) #H2T10
+  [ @IHT1 -IHT1 /4 width=3 by cpxs_strap2, cpxs_strap1, tsts_canc_sn, simple_tsts_repl_dx/
   | -IHT1 -H3T1 -H1T10 /3 width=1 by cpx_cpxs/
   ]
 ]