X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2Fbasic_2%2Fdynamic%2Fsnv.ma;h=2be5715258a1adced3f0d0a67bda6d15e6453a0f;hb=4bea40e6589ce21c15ecf99bdd5bd2a1c62f6809;hp=2a234c2267ce4ff63fcead7177798e8e9966cd17;hpb=943bfd67310c34c05cbba627272864eb10800143;p=helm.git diff --git a/matita/matita/contribs/lambda_delta/basic_2/dynamic/snv.ma b/matita/matita/contribs/lambda_delta/basic_2/dynamic/snv.ma index 2a234c226..2be571525 100644 --- a/matita/matita/contribs/lambda_delta/basic_2/dynamic/snv.ma +++ b/matita/matita/contribs/lambda_delta/basic_2/dynamic/snv.ma @@ -26,7 +26,7 @@ inductive snv (h:sh) (g:sd h): lenv → predicate term ≝ ⦃h, L⦄ ⊢ V •[g, l + 1] W → L ⊢ W ➡* W0 → ⦃h, L⦄ ⊢ T •➡*[g] ⓛ{a}W0.U → snv h g L (ⓐV.T) | snv_cast: ∀L,W,T,U,l. snv h g L W → snv h g L T → - ⦃h, L⦄ ⊢ T •[g, l + 1] U → L ⊢ W ⬌* U → snv h g L (ⓝW.T) + ⦃h, L⦄ ⊢ T •[g, l + 1] U → L ⊢ U ⬌* W → snv h g L (ⓝW.T) . interpretation "stratified native validity (term)" @@ -85,17 +85,17 @@ lemma snv_inv_appl: ∀h,g,L,V,T. ⦃h, L⦄ ⊩ ⓐV.T :[g] → fact snv_inv_cast_aux: ∀h,g,L,X. ⦃h, L⦄ ⊩ X :[g] → ∀W,T. X = ⓝW.T → ∃∃U,l. ⦃h, L⦄ ⊩ W :[g] & ⦃h, L⦄ ⊩ T :[g] & - L ⊢ W ⬌* U & ⦃h, L⦄ ⊢ T •[g, l + 1] U. + ⦃h, L⦄ ⊢ T •[g, l + 1] U & L ⊢ U ⬌* W. #h #g #L #X * -L -X [ #L #k #W #T #H destruct | #I #L #K #V #i #_ #_ #W #T #H destruct | #a #I #L #V #T0 #_ #_ #W #T #H destruct | #a #L #V #W0 #W00 #T0 #U #l #_ #_ #_ #_ #_ #W #T #H destruct -| #L #W0 #T0 #U0 #l #HW0 #HT0 #HTU0 #HWU0 #W #T #H destruct /2 width=4/ +| #L #W0 #T0 #U0 #l #HW0 #HT0 #HTU0 #HUW0 #W #T #H destruct /2 width=4/ ] qed. lemma snv_inv_cast: ∀h,g,L,W,T. ⦃h, L⦄ ⊩ ⓝW.T :[g] → - ∃∃U,l. ⦃h, L⦄ ⊩ W :[g] & ⦃h, L⦄ ⊩ T :[g] & - L ⊢ W ⬌* U & ⦃h, L⦄ ⊢ T •[g, l + 1] U. + ∃∃U,l. ⦃h, L⦄ ⊩ W :[g] & ⦃h, L⦄ ⊩ T :[g] & + ⦃h, L⦄ ⊢ T •[g, l + 1] U & L ⊢ U ⬌* W. /2 width=3/ qed-.