- ldrop is now drop as in basic_1

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs_tstc_vector.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs_tstc_vector.ma
index 55ea0dff906488550ef7529371e7d1b21f3d1e74..08d284d97c777eee1a9d09d8d9157d5c7e4f271e 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs_tstc_vector.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs_tstc_vector.ma
@@ -22,7 +22,7 @@ include "basic_2/computation/cpxs_tstc.ma".
 
 (* Basic_1: was just: nf2_iso_appls_lref *)
 lemma cpxs_fwd_cnx_vector: ∀h,g,G,L,T.  𝐒⦃T⦄ → ⦃G, L⦄ ⊢ ➡[h, g] 𝐍⦃T⦄ →
-                           â\88\80Vs,U. â¦\83G, Lâ¦\84 â\8a¢ â\92¶Vs.T â\9e¡*[h, g] U â\86\92 â\92¶Vs.T â\89\83 U.
+                           â\88\80Vs,U. â¦\83G, Lâ¦\84 â\8a¢ â\92¶Vs.T â\9e¡*[h, g] U â\86\92 â\92¶Vs.T â\89\82 U.
 #h #g #G #L #T #H1T #H2T #Vs elim Vs -Vs [ @(cpxs_fwd_cnx … H2T) ] (**) (* /2 width=3 by cpxs_fwd_cnx/ does not work *)
 #V #Vs #IHVs #U #H
 elim (cpxs_inv_appl1 … H) -H *
@@ -37,7 +37,7 @@ elim (cpxs_inv_appl1 … H) -H *
 qed-.
 
 lemma cpxs_fwd_sort_vector: ∀h,g,G,L,k,Vs,U. ⦃G, L⦄ ⊢ ⒶVs.⋆k ➡*[h, g] U →
-                            â\92¶Vs.â\8b\86k â\89\83 U ∨ ⦃G, L⦄ ⊢ ⒶVs.⋆(next h k) ➡*[h, g] U.
+                            â\92¶Vs.â\8b\86k â\89\82 U ∨ ⦃G, L⦄ ⊢ ⒶVs.⋆(next h k) ➡*[h, g] U.
 #h #g #G #L #k #Vs elim Vs -Vs /2 width=1 by cpxs_fwd_sort/
 #V #Vs #IHVs #U #H
 elim (cpxs_inv_appl1 … H) -H *
@@ -62,7 +62,7 @@ qed-.
 
 (* Basic_1: was just: pr3_iso_appls_beta *)
 lemma cpxs_fwd_beta_vector: ∀h,g,a,G,L,Vs,V,W,T,U. ⦃G, L⦄ ⊢ ⒶVs.ⓐV.ⓛ{a}W.T ➡*[h, g] U →
-                            â\92¶Vs. â\93\90V. â\93\9b{a}W. T â\89\83 U ∨ ⦃G, L⦄ ⊢ ⒶVs.ⓓ{a}ⓝW.V.T ➡*[h, g] U.
+                            â\92¶Vs. â\93\90V. â\93\9b{a}W. T â\89\82 U ∨ ⦃G, L⦄ ⊢ ⒶVs.ⓓ{a}ⓝW.V.T ➡*[h, g] U.
 #h #g #a #G #L #Vs elim Vs -Vs /2 width=1 by cpxs_fwd_beta/
 #V0 #Vs #IHVs #V #W #T #U #H
 elim (cpxs_inv_appl1 … H) -H *
@@ -87,7 +87,7 @@ qed-.
 lemma cpxs_fwd_delta_vector: ∀h,g,I,G,L,K,V1,i. ⇩[i] L ≡ K.ⓑ{I}V1 →
                              ∀V2. ⇧[0, i + 1] V1 ≡ V2 →
                              ∀Vs,U. ⦃G, L⦄ ⊢ ⒶVs.#i ➡*[h, g] U →
-                             â\92¶Vs.#i â\89\83 U ∨ ⦃G, L⦄ ⊢ ⒶVs.V2 ➡*[h, g] U.
+                             â\92¶Vs.#i â\89\82 U ∨ ⦃G, L⦄ ⊢ ⒶVs.V2 ➡*[h, g] U.
 #h #g #I #G #L #K #V1 #i #HLK #V2 #HV12 #Vs elim Vs -Vs /2 width=5 by cpxs_fwd_delta/
 #V #Vs #IHVs #U #H -K -V1
 elim (cpxs_inv_appl1 … H) -H *
@@ -112,7 +112,7 @@ qed-.
 (* Basic_1: was just: pr3_iso_appls_abbr *)
 lemma cpxs_fwd_theta_vector: ∀h,g,G,L,V1s,V2s. ⇧[0, 1] V1s ≡ V2s →
                              ∀a,V,T,U. ⦃G, L⦄ ⊢ ⒶV1s.ⓓ{a}V.T ➡*[h, g] U →
-                             â\92¶V1s. â\93\93{a}V. T â\89\83 U ∨ ⦃G, L⦄ ⊢ ⓓ{a}V.ⒶV2s.T ➡*[h, g] U.
+                             â\92¶V1s. â\93\93{a}V. T â\89\82 U ∨ ⦃G, L⦄ ⊢ ⓓ{a}V.ⒶV2s.T ➡*[h, g] U.
 #h #g #G #L #V1s #V2s * -V1s -V2s /3 width=1 by or_intror/
 #V1s #V2s #V1a #V2a #HV12a #HV12s #a
 generalize in match HV12a; -HV12a
@@ -145,11 +145,11 @@ elim (cpxs_inv_appl1 … H) -H *
     @(cpxs_trans … HU) -U
     elim (cpxs_inv_abbr1 … HT0) -HT0 *
     [ #V1 #T1 #HV1 #HT1 #H destruct
-      lapply (cpxs_lift … HV10a (L.ⓓV) (Ⓣ) … HV12a … HV0a) -V1a -V0a [ /2 width=1 by ldrop_drop/ ] #HV2a
+      lapply (cpxs_lift … HV10a (L.ⓓV) (Ⓣ) … HV12a … HV0a) -V1a -V0a [ /2 width=1 by drop_drop/ ] #HV2a
       @(cpxs_trans … (ⓓ{a}V.ⓐV2a.T1)) /3 width=1 by cpxs_bind, cpxs_pair_sn, cpxs_flat_dx, cpxs_bind_dx/
     | #X #HT1 #H #H0 destruct
       elim (lift_inv_bind1 … H) -H #V1 #T1 #HW01 #HT01 #H destruct
-      lapply (cpxs_lift … HV10a (L.ⓓV0) (Ⓣ) … HV12a … HV0a) -V0a [ /2 width=1 by ldrop_drop/ ] #HV2a
+      lapply (cpxs_lift … HV10a (L.ⓓV0) (Ⓣ) … HV12a … HV0a) -V0a [ /2 width=1 by drop_drop/ ] #HV2a
       @(cpxs_trans … (+ⓓV.ⓐV2a.ⓓ{b}V1.T1)) [ /3 width=1 by cpxs_flat_dx, cpxs_bind_dx/ ] -T -V2b -V2s
       @(cpxs_strap2 … (ⓐV1a.ⓓ{b}V0.T0)) [ /4 width=7 by cpx_zeta, lift_bind, lift_flat/ ] -V -V1 -T1
       @(cpxs_strap2 … (ⓓ{b}V0.ⓐV2a.T0)) /3 width=3 by cpxs_pair_sn, cpxs_bind_dx, cpr_cpx, cpr_theta/
@@ -160,7 +160,7 @@ qed-.
 
 (* Basic_1: was just: pr3_iso_appls_cast *)
 lemma cpxs_fwd_cast_vector: ∀h,g,G,L,Vs,W,T,U. ⦃G, L⦄ ⊢ ⒶVs.ⓝW.T ➡*[h, g] U →
-                            â\88¨â\88¨ â\92¶Vs. â\93\9dW. T â\89\83 U
+                            â\88¨â\88¨ â\92¶Vs. â\93\9dW. T â\89\82 U
                              | ⦃G, L⦄ ⊢ ⒶVs.T ➡*[h, g] U
                              | ⦃G, L⦄ ⊢ ⒶVs.W ➡*[h, g] U.
 #h #g #G #L #Vs elim Vs -Vs /2 width=1 by cpxs_fwd_cast/