X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_drops.ma;h=9483346c4a921133715ffdd4d29f7f1fb96d25b7;hp=7bcc3f1fc539b5aab68a86deb14be2ac254b0335;hb=f308429a0fde273605a2330efc63268b4ac36c99;hpb=87f57ddc367303c33e19c83cd8989cd561f3185b diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_drops.ma index 7bcc3f1fc..9483346c4 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_drops.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_drops.ma @@ -20,8 +20,8 @@ include "basic_2/dynamic/cnv.ma". (* Advanced dproperties *****************************************************) (* Basic_2A1: uses: snv_lref *) -lemma cnv_lref_drops (a) (h) (G): ∀I,K,V,i,L. ⦃G, K⦄ ⊢ V ![a, h] → - ⬇*[i] L ≘ K.ⓑ{I}V → ⦃G, L⦄ ⊢ #i ![a, h]. +lemma cnv_lref_drops (a) (h) (G): ∀I,K,V,i,L. ⦃G,K⦄ ⊢ V ![a,h] → + ⬇*[i] L ≘ K.ⓑ{I}V → ⦃G,L⦄ ⊢ #i ![a,h]. #a #h #G #I #K #V #i elim i -i [ #L #HV #H lapply (drops_fwd_isid … H ?) -H // #H destruct @@ -36,8 +36,8 @@ qed. (* Basic_2A1: uses: snv_inv_lref *) lemma cnv_inv_lref_drops (a) (h) (G): - ∀i,L. ⦃G, L⦄ ⊢ #i ![a, h] → - ∃∃I,K,V. ⬇*[i] L ≘ K.ⓑ{I}V & ⦃G, K⦄ ⊢ V ![a, h]. + ∀i,L. ⦃G,L⦄ ⊢ #i ![a,h] → + ∃∃I,K,V. ⬇*[i] L ≘ K.ⓑ{I}V & ⦃G,K⦄ ⊢ V ![a,h]. #a #h #G #i elim i -i [ #L #H elim (cnv_inv_zero … H) -H #I #K #V #HV #H destruct @@ -50,15 +50,15 @@ lemma cnv_inv_lref_drops (a) (h) (G): qed-. lemma cnv_inv_lref_pair (a) (h) (G): - ∀i,L. ⦃G, L⦄ ⊢ #i ![a, h] → - ∀I,K,V. ⬇*[i] L ≘ K.ⓑ{I}V → ⦃G, K⦄ ⊢ V ![a, h]. + ∀i,L. ⦃G,L⦄ ⊢ #i ![a,h] → + ∀I,K,V. ⬇*[i] L ≘ K.ⓑ{I}V → ⦃G,K⦄ ⊢ V ![a,h]. #a #h #G #i #L #H #I #K #V #HLK elim (cnv_inv_lref_drops … H) -H #Z #Y #X #HLY #HX lapply (drops_mono … HLY … HLK) -L #H destruct // qed-. lemma cnv_inv_lref_atom (a) (h) (b) (G): - ∀i,L. ⦃G, L⦄ ⊢ #i ![a, h] → + ∀i,L. ⦃G,L⦄ ⊢ #i ![a,h] → ⬇*[b,𝐔❴i❵] L ≘ ⋆ → ⊥. #a #h #b #G #i #L #H #Hi elim (cnv_inv_lref_drops … H) -H #Z #Y #X #HLY #_ @@ -67,7 +67,7 @@ lapply (drops_mono … HLY … Hi) -L #H destruct qed-. lemma cnv_inv_lref_unit (a) (h) (G): - ∀i,L. ⦃G, L⦄ ⊢ #i ![a, h] → + ∀i,L. ⦃G,L⦄ ⊢ #i ![a,h] → ∀I,K. ⬇*[i] L ≘ K.ⓤ{I} → ⊥. #a #h #G #i #L #H #I #K #HLK elim (cnv_inv_lref_drops … H) -H #Z #Y #X #HLY #_