X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcnx_drops.ma;h=76f8f77b093cd6cb65a3b1a85b8a33dd6af249ab;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hp=c2479807af7914707813764342424fb7a25b5b6e;hpb=f129bbbfda0e65a5f92ec086246f6e288376d4f9;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_drops.ma index c2479807a..76f8f77b0 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_drops.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_drops.ma @@ -12,7 +12,7 @@ (* *) (**************************************************************************) -include "basic_2/relocation/lifts_tdeq.ma". +include "static_2/relocation/lifts_teqx.ma". include "basic_2/rt_transition/cpx_drops.ma". include "basic_2/rt_transition/cnx.ma". @@ -20,37 +20,37 @@ include "basic_2/rt_transition/cnx.ma". (* Properties with generic slicing ******************************************) -lemma cnx_lref_atom: ∀h,o,G,L,i. ⬇*[i] L ≘ ⋆ → ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃#i⦄. -#h #o #G #L #i #Hi #X #H elim (cpx_inv_lref1_drops … H) -H // * +lemma cnx_lref_atom: ∀h,G,L,i. ⇩*[i] L ≘ ⋆ → ❪G,L❫ ⊢ ⬈[h] 𝐍❪#i❫. +#h #G #L #i #Hi #X #H elim (cpx_inv_lref1_drops … H) -H // * #I #K #V1 #V2 #HLK lapply (drops_mono … Hi … HLK) -L #H destruct qed. -lemma cnx_lref_unit: ∀h,o,I,G,L,K,i. ⬇*[i] L ≘ K.ⓤ{I} → ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃#i⦄. -#h #o #I #G #L #K #i #HLK #X #H elim (cpx_inv_lref1_drops … H) -H // * +lemma cnx_lref_unit: ∀h,I,G,L,K,i. ⇩*[i] L ≘ K.ⓤ[I] → ❪G,L❫ ⊢ ⬈[h] 𝐍❪#i❫. +#h #I #G #L #K #i #HLK #X #H elim (cpx_inv_lref1_drops … H) -H // * #Z #Y #V1 #V2 #HLY lapply (drops_mono … HLK … HLY) -L #H destruct qed. (* Basic_2A1: includes: cnx_lift *) -lemma cnx_lifts: ∀h,o,G. d_liftable1 … (cnx h o G). -#h #o #G #K #T #HT #b #f #L #HLK #U #HTU #U0 #H +lemma cnx_lifts: ∀h,G. d_liftable1 … (cnx h G). +#h #G #K #T #HT #b #f #L #HLK #U #HTU #U0 #H elim (cpx_inv_lifts_sn … H … HLK … HTU) -b -L #T0 #HTU0 #HT0 -lapply (HT … HT0) -G -K /2 width=6 by tdeq_lifts_bi/ +lapply (HT … HT0) -G -K /2 width=6 by teqx_lifts_bi/ qed-. (* Inversion lemmas with generic slicing ************************************) (* Basic_2A1: was: cnx_inv_delta *) -lemma cnx_inv_lref_pair: ∀h,o,I,G,L,K,V,i. ⬇*[i] L ≘ K.ⓑ{I}V → ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃#i⦄ → ⊥. -#h #o #I #G #L #K #V #i #HLK #H -elim (lifts_total V (𝐔❴↑i❵)) #W #HVW +lemma cnx_inv_lref_pair: ∀h,I,G,L,K,V,i. ⇩*[i] L ≘ K.ⓑ[I]V → ❪G,L❫ ⊢ ⬈[h] 𝐍❪#i❫ → ⊥. +#h #I #G #L #K #V #i #HLK #H +elim (lifts_total V (𝐔❨↑i❩)) #W #HVW lapply (H W ?) -H /2 width=7 by cpx_delta_drops/ -HLK -#H lapply (tdeq_inv_lref1 … H) -H #H destruct +#H lapply (teqx_inv_lref1 … H) -H #H destruct /2 width=5 by lifts_inv_lref2_uni_lt/ qed-. (* Basic_2A1: includes: cnx_inv_lift *) -lemma cnx_inv_lifts: ∀h,o,G. d_deliftable1 … (cnx h o G). -#h #o #G #L #U #HU #b #f #K #HLK #T #HTU #T0 #H +lemma cnx_inv_lifts: ∀h,G. d_deliftable1 … (cnx h G). +#h #G #L #U #HU #b #f #K #HLK #T #HTU #T0 #H elim (cpx_lifts_sn … H … HLK … HTU) -b -K #U0 #HTU0 #HU0 -lapply (HU … HU0) -G -L /2 width=6 by tdeq_inv_lifts_bi/ +lapply (HU … HU0) -G -L /2 width=6 by teqx_inv_lifts_bi/ qed-.