]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/multiple/llor.ma
- ldrop is now drop as in basic_1
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / multiple / llor.ma
index 4f3d948decd40b463a7cfdeb2ce5fcd95055ab10..fc950fdb150c8784bc44b2ea7f9feaa33a6c3ff3 100644 (file)
@@ -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 → ∨∨
                        (∧∧ 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.