X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fmultiple%2Fllor.ma;h=df157a9902d9531e6f1482a144580feb914b0c52;hb=fbf441911bcc80fde66896005a0090a117106d88;hp=eda4c00d69dfb11f32b3aa3fc245d7ec4341ef8c;hpb=598a5c56535a8339f6533227ab580aff64e2d41c;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/multiple/llor.ma b/matita/matita/contribs/lambdadelta/basic_2/multiple/llor.ma index eda4c00d6..df157a990 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/multiple/llor.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/multiple/llor.ma @@ -12,27 +12,28 @@ (* *) (**************************************************************************) -include "basic_2/notation/relations/lazyor_4.ma". +include "basic_2/notation/relations/lazyor_5.ma". include "basic_2/multiple/frees.ma". (* POINTWISE UNION FOR LOCAL ENVIRONMENTS ***********************************) -definition llor: relation4 term lenv lenv lenv ≝ λT,L2,L1,L. +definition llor: ynat → relation4 term lenv lenv lenv ≝ λd,T,L2,L1,L. ∧∧ |L1| ≤ |L2| & |L1| = |L| & (∀I1,I2,I,K1,K2,K,V1,V2,V,i. - ⇩[i] L1 ≡ K1.ⓑ{I1}V1 → ⇩[i] L2 ≡ K2.ⓑ{I2}V2 → ⇩[i] L ≡ K.ⓑ{I}V → - (∧∧ (L1 ⊢ i ϵ 𝐅*[yinj 0]⦃T⦄ → ⊥) & I1 = I & V1 = V) ∨ - (∧∧ L1 ⊢ i ϵ 𝐅*[yinj 0]⦃T⦄ & I1 = I & V2 = V) + ⇩[i] L1 ≡ K1.ⓑ{I1}V1 → ⇩[i] L2 ≡ K2.ⓑ{I2}V2 → ⇩[i] L ≡ K.ⓑ{I}V → ∨∨ + (∧∧ yinj i < d & I1 = I & V1 = V) | + (∧∧ (L1 ⊢ i ϵ 𝐅*[d]⦃T⦄ → ⊥) & I1 = I & V1 = V) | + (∧∧ d ≤ yinj i & L1 ⊢ i ϵ 𝐅*[d]⦃T⦄ & I1 = I & V2 = V) ). interpretation "lazy union (local environment)" - 'LazyOr L1 T L2 L = (llor T L2 L1 L). + 'LazyOr L1 T d L2 L = (llor d T L2 L1 L). (* Basic properties *********************************************************) -lemma llor_atom: ∀T,L2. ⋆ ⩖[T] L2 ≡ ⋆. -#T #L2 @and3_intro // +lemma llor_atom: ∀L2,T,d. ⋆ ⩖[T, d] L2 ≡ ⋆. +#L2 #T #d @and3_intro // #I1 #I2 #I #K1 #K2 #K #V1 #V2 #V #i #HLK1 elim (ldrop_inv_atom1 … HLK1) -HLK1 #H destruct qed.