X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2FBasic_2%2Fsubstitution%2Fldrop_ldrop.ma;h=90f724ad36f93a19d2570ccbc88d62eae1bae8e0;hb=011cf6478141e69822a5b40933f2444d0522532f;hp=2c4b8879f4d0e0db71178590f8a7ecb24bd4049c;hpb=39e80f80b26e18cf78f805e814ba2f2e8400c1f1;p=helm.git diff --git a/matita/matita/contribs/lambda_delta/Basic_2/substitution/ldrop_ldrop.ma b/matita/matita/contribs/lambda_delta/Basic_2/substitution/ldrop_ldrop.ma index 2c4b8879f..90f724ad3 100644 --- a/matita/matita/contribs/lambda_delta/Basic_2/substitution/ldrop_ldrop.ma +++ b/matita/matita/contribs/lambda_delta/Basic_2/substitution/ldrop_ldrop.ma @@ -19,7 +19,7 @@ include "Basic_2/substitution/ldrop.ma". (* Main properties **********************************************************) -(* Basic_1: was: ldrop_mono *) +(* Basic_1: was: drop_mono *) theorem ldrop_mono: ∀d,e,L,L1. ⇩[d, e] L ≡ L1 → ∀L2. ⇩[d, e] L ≡ L2 → L1 = L2. #d #e #L #L1 #H elim H -d -e -L -L1 @@ -36,7 +36,7 @@ theorem ldrop_mono: ∀d,e,L,L1. ⇩[d, e] L ≡ L1 → ] qed-. -(* Basic_1: was: ldrop_conf_ge *) +(* Basic_1: was: drop_conf_ge *) theorem ldrop_conf_ge: ∀d1,e1,L,L1. ⇩[d1, e1] L ≡ L1 → ∀e2,L2. ⇩[0, e2] L ≡ L2 → d1 + e1 ≤ e2 → ⇩[0, e2 - e1] L1 ≡ L2. @@ -55,11 +55,11 @@ theorem ldrop_conf_ge: ∀d1,e1,L,L1. ⇩[d1, e1] L ≡ L1 → ] qed. -(* Basic_1: was: ldrop_conf_lt *) +(* Basic_1: was: drop_conf_lt *) theorem ldrop_conf_lt: ∀d1,e1,L,L1. ⇩[d1, e1] L ≡ L1 → - ∀e2,K2,I,V2. ⇩[0, e2] L ≡ K2. 𝕓{I} V2 → + ∀e2,K2,I,V2. ⇩[0, e2] L ≡ K2. ⓑ{I} V2 → e2 < d1 → let d ≝ d1 - e2 - 1 in - ∃∃K1,V1. ⇩[0, e2] L1 ≡ K1. 𝕓{I} V1 & + ∃∃K1,V1. ⇩[0, e2] L1 ≡ K1. ⓑ{I} V1 & ⇩[d, e1] K2 ≡ K1 & ⇧[d, e1] V1 ≡ V2. #d1 #e1 #L #L1 #H elim H -d1 -e1 -L -L1 [ #d #e #e2 #K2 #I #V2 #H @@ -77,7 +77,7 @@ theorem ldrop_conf_lt: ∀d1,e1,L,L1. ⇩[d1, e1] L ≡ L1 → ] qed. -(* Basic_1: was: ldrop_trans_le *) +(* Basic_1: was: drop_trans_le *) theorem ldrop_trans_le: ∀d1,e1,L1,L. ⇩[d1, e1] L1 ≡ L → ∀e2,L2. ⇩[0, e2] L ≡ L2 → e2 ≤ d1 → ∃∃L0. ⇩[0, e2] L1 ≡ L0 & ⇩[d1 - e2, e1] L0 ≡ L2. @@ -99,7 +99,7 @@ theorem ldrop_trans_le: ∀d1,e1,L1,L. ⇩[d1, e1] L1 ≡ L → ] qed. -(* Basic_1: was: ldrop_trans_ge *) +(* Basic_1: was: drop_trans_ge *) theorem ldrop_trans_ge: ∀d1,e1,L1,L. ⇩[d1, e1] L1 ≡ L → ∀e2,L2. ⇩[0, e2] L ≡ L2 → d1 ≤ e2 → ⇩[0, e1 + e2] L1 ≡ L2. #d1 #e1 #L1 #L #H elim H -d1 -e1 -L1 -L @@ -121,6 +121,6 @@ theorem ldrop_trans_ge_comm: ∀d1,e1,e2,L1,L2,L. #e1 #e1 #e2 >commutative_plus /2 width=5/ qed. -(* Basic_1: was: ldrop_conf_rev *) +(* Basic_1: was: drop_conf_rev *) axiom ldrop_div: ∀e1,L1,L. ⇩[0, e1] L1 ≡ L → ∀e2,L2. ⇩[0, e2] L2 ≡ L → ∃∃L0. ⇩[0, e1] L0 ≡ L2 & ⇩[e1, e2] L0 ≡ L1.