X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcnx_drops.ma;h=3b396d94e73285af53cc0e19f2dc1accac389d4d;hp=2e593f991b8040673256f39b789216ecec5174ee;hb=4173283e148199871d787c53c0301891deb90713;hpb=a67fc50ccfda64377e2c94c18c3a0d9265f651db 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 2e593f991..3b396d94e 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 @@ -20,19 +20,19 @@ 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/ qed-. @@ -40,8 +40,8 @@ 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 +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 @@ -49,8 +49,8 @@ lapply (H W ?) -H /2 width=7 by cpx_delta_drops/ -HLK 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/ qed-.