X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fmultiple%2Fllor.ma;h=29d4c1d5172bfb8fdc1e80a1f6470c768f3b9a1c;hb=f10cfe417b6b8ec1c7ac85c6ecf5fb1b3fdf37db;hp=4f3d948decd40b463a7cfdeb2ce5fcd95055ab10;hpb=a2092f7ba4c7c566ea90653ff57e4623ab94d8d5;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 4f3d948de..29d4c1d51 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/multiple/llor.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/multiple/llor.ma @@ -18,12 +18,12 @@ include "basic_2/multiple/frees.ma". (* POINTWISE UNION FOR LOCAL ENVIRONMENTS ***********************************) definition llor: ynat → relation4 term lenv lenv lenv ≝ λd,T,L2,L1,L. - ∧∧ |L1| ≤ |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 → ∨∨ + ⬇[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) + (∧∧ d ≤ yinj i & L1 ⊢ i ϵ 𝐅*[d]⦃T⦄ & I2 = I & V2 = V) ). interpretation @@ -32,8 +32,9 @@ interpretation (* Basic properties *********************************************************) -lemma llor_atom: ∀L2,T,d. ⋆ ⩖[T, d] L2 ≡ ⋆. -#L2 #T #d @and3_intro // +(* Note: this can be proved by llor_skip *) +lemma llor_atom: ∀T,d. ⋆ ⋓[T, d] ⋆ ≡ ⋆. +#T #d @and3_intro // #I1 #I2 #I #K1 #K2 #K #V1 #V2 #V #i #HLK1 -elim (ldrop_inv_atom1 … HLK1) -HLK1 #H destruct +elim (drop_inv_atom1 … HLK1) -HLK1 #H destruct qed.