X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fmultiple%2Fllor.ma;h=a2d1e61a7e32b2a810ccb59d69c64d48fb2270e2;hb=c60524dec7ace912c416a90d6b926bee8553250b;hp=29d4c1d5172bfb8fdc1e80a1f6470c768f3b9a1c;hpb=f10cfe417b6b8ec1c7ac85c6ecf5fb1b3fdf37db;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 29d4c1d51..a2d1e61a7 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/multiple/llor.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/multiple/llor.ma @@ -17,24 +17,24 @@ include "basic_2/multiple/frees.ma". (* POINTWISE UNION FOR LOCAL ENVIRONMENTS ***********************************) -definition llor: ynat → relation4 term lenv lenv lenv ≝ λd,T,L2,L1,L. +definition llor: ynat → relation4 term lenv lenv lenv ≝ λl,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 → ∨∨ - (∧∧ 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⦄ & I2 = I & V2 = V) + (∧∧ yinj i < l & I1 = I & V1 = V) | + (∧∧ (L1 ⊢ i ϵ 𝐅*[l]⦃T⦄ → ⊥) & I1 = I & V1 = V) | + (∧∧ l ≤ yinj i & L1 ⊢ i ϵ 𝐅*[l]⦃T⦄ & I2 = I & V2 = V) ). interpretation "lazy union (local environment)" - 'LazyOr L1 T d L2 L = (llor d T L2 L1 L). + 'LazyOr L1 T l L2 L = (llor l T L2 L1 L). (* Basic properties *********************************************************) (* Note: this can be proved by llor_skip *) -lemma llor_atom: ∀T,d. ⋆ ⋓[T, d] ⋆ ≡ ⋆. -#T #d @and3_intro // +lemma llor_atom: ∀T,l. ⋆ ⋓[T, l] ⋆ ≡ ⋆. +#T #l @and3_intro // #I1 #I2 #I #K1 #K2 #K #V1 #V2 #V #i #HLK1 elim (drop_inv_atom1 … HLK1) -HLK1 #H destruct qed.