From a8e31c02eefecdcd7d8a893c9f0a036a30fa57e4 Mon Sep 17 00:00:00 2001 From: Ferruccio Guidi Date: Mon, 26 May 2014 21:13:08 +0000 Subject: [PATCH] one file was missing :( --- .../lambdadelta/basic_2/substitution/llor.ma | 40 +++++++++++++++++++ 1 file changed, 40 insertions(+) create mode 100644 matita/matita/contribs/lambdadelta/basic_2/substitution/llor.ma diff --git a/matita/matita/contribs/lambdadelta/basic_2/substitution/llor.ma b/matita/matita/contribs/lambdadelta/basic_2/substitution/llor.ma new file mode 100644 index 000000000..2c1b48ad9 --- /dev/null +++ b/matita/matita/contribs/lambdadelta/basic_2/substitution/llor.ma @@ -0,0 +1,40 @@ +(**************************************************************************) +(* ___ *) +(* ||M|| *) +(* ||A|| A project by Andrea Asperti *) +(* ||T|| *) +(* ||I|| Developers: *) +(* ||T|| The HELM team. *) +(* ||A|| http://helm.cs.unibo.it *) +(* \ / *) +(* \ / This file is distributed under the terms of the *) +(* v GNU General Public License Version 2 *) +(* *) +(**************************************************************************) + +include "basic_2/notation/relations/lazyor_4.ma". +include "basic_2/substitution/cofrees.ma". + +(* POINTWISE UNION FOR LOCAL ENVIRONMENTS ***********************************) + +definition llor: relation4 term lenv lenv lenv ≝ λT,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) + ). + +interpretation + "lazy union (local environment)" + 'LazyOr L1 T L2 L = (llor T L2 L1 L). + +(* Basic properties *********************************************************) + +lemma llor_atom: ∀T,L2. ⋆ ⩖[T] L2 ≡ ⋆. +#T #L2 @and3_intro // +#I1 #I2 #I #K1 #K2 #K #V1 #V2 #V #i #HLK1 +elim (ldrop_inv_atom1 … HLK1) -HLK1 #H destruct +qed. + +axiom llor_total: ∀L1,L2,T. |L1| ≤ |L2| → ∃L. L1 ⩖[T] L2 ≡ L. -- 2.39.2