X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Fssta_ssta.ma;h=8cc03442d4c2007f07dce7021675b03a7a7405b3;hb=3cf712a7a75b57fb24f8dbed3f6f28d70dbf5be3;hp=87e0d216858dc20e80e9b1a42e25a908b062c632;hpb=29973426e0227ee48368d1c24dc0c17bf2baef77;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/ssta_ssta.ma b/matita/matita/contribs/lambdadelta/basic_2/static/ssta_ssta.ma index 87e0d2168..8cc03442d 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/static/ssta_ssta.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/static/ssta_ssta.ma @@ -19,29 +19,29 @@ include "basic_2/static/ssta_lift.ma". (* Main properties **********************************************************) (* Note: apparently this was missing in basic_1 *) -theorem ssta_mono: ∀h,g,L,T,U1,l1. ⦃G, L⦄ ⊢ T •[h, g] ⦃l1, U1⦄ → +theorem ssta_mono: ∀h,g,G,L,T,U1,l1. ⦃G, L⦄ ⊢ T •[h, g] ⦃l1, U1⦄ → ∀U2,l2. ⦃G, L⦄ ⊢ T •[h, g] ⦃l2, U2⦄ → l1 = l2 ∧ U1 = U2. -#h #g #L #T #U1 #l1 #H elim H -L -T -U1 -l1 -[ #L #k #l #Hkl #X #l2 #H +#h #g #G #L #T #U1 #l1 #H elim H -G -L -T -U1 -l1 +[ #G #L #k #l #Hkl #X #l2 #H elim (ssta_inv_sort1 … H) -H #Hkl2 #H destruct >(deg_mono … Hkl2 … Hkl) -g -L -l2 /2 width=1/ -| #L #K #V #W #U1 #i #l1 #HLK #_ #HWU1 #IHVW #U2 #l2 #H +| #G #L #K #V #W #U1 #i #l1 #HLK #_ #HWU1 #IHVW #U2 #l2 #H elim (ssta_inv_lref1 … H) -H * #K0 #V0 #W0 [2: #l0] #HLK0 #HVW0 #HW0U2 lapply (ldrop_mono … HLK0 … HLK) -HLK -HLK0 #H destruct lapply (IHVW … HVW0) -IHVW -HVW0 * #H1 #H2 destruct >(lift_mono … HWU1 … HW0U2) -W0 -U1 /2 width=1/ -| #L #K #W #V #U1 #i #l1 #HLK #_ #HWU1 #IHWV #U2 #l2 #H +| #G #L #K #W #V #U1 #i #l1 #HLK #_ #HWU1 #IHWV #U2 #l2 #H elim (ssta_inv_lref1 … H) -H * #K0 #W0 #V0 [2: #l0 ] #HLK0 #HWV0 #HV0U2 lapply (ldrop_mono … HLK0 … HLK) -HLK -HLK0 #H destruct lapply (IHWV … HWV0) -IHWV -HWV0 * #H1 #H2 destruct >(lift_mono … HWU1 … HV0U2) -W -U1 /2 width=1/ -| #a #I #L #V #T #U1 #l1 #_ #IHTU1 #X #l2 #H +| #a #I #G #L #V #T #U1 #l1 #_ #IHTU1 #X #l2 #H elim (ssta_inv_bind1 … H) -H #U2 #HTU2 #H destruct elim (IHTU1 … HTU2) -T /3 width=1/ -| #L #V #T #U1 #l1 #_ #IHTU1 #X #l2 #H +| #G #L #V #T #U1 #l1 #_ #IHTU1 #X #l2 #H elim (ssta_inv_appl1 … H) -H #U2 #HTU2 #H destruct elim (IHTU1 … HTU2) -T /3 width=1/ -| #L #W1 #T #U1 #l1 #_ #IHTU1 #U2 #l2 #H +| #G #L #W1 #T #U1 #l1 #_ #IHTU1 #U2 #l2 #H lapply (ssta_inv_cast1 … H) -H #HTU2 elim (IHTU1 … HTU2) -T /2 width=1/ ] @@ -49,8 +49,8 @@ qed-. (* Advanced inversion lemmas ************************************************) -lemma ssta_inv_refl_pos: ∀h,g,L,T,l. ⦃G, L⦄ ⊢ T •[h, g] ⦃l+1, T⦄ → ⊥. -#h #g #L #T #l #HTT +lemma ssta_inv_refl_pos: ∀h,g,G,L,T,l. ⦃G, L⦄ ⊢ T •[h, g] ⦃l+1, T⦄ → ⊥. +#h #g #G #L #T #l #HTT elim (ssta_fwd_correct … HTT)