X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2FBasic_2%2Fsubstitution%2Fdrop_drop.ma;h=b8a790fb597402712c04b7ba40647aa1922b9601;hb=83aea9a1662de32505512d6296921ebfffcfc53d;hp=9343748537ebf0b9c1a685e0e46da83b93ee544f;hpb=55dc00c1c44cc21c7ae179cb9df03e7446002c46;p=helm.git diff --git a/matita/matita/contribs/lambda_delta/Basic_2/substitution/drop_drop.ma b/matita/matita/contribs/lambda_delta/Basic_2/substitution/drop_drop.ma index 934374853..b8a790fb5 100644 --- a/matita/matita/contribs/lambda_delta/Basic_2/substitution/drop_drop.ma +++ b/matita/matita/contribs/lambda_delta/Basic_2/substitution/drop_drop.ma @@ -12,14 +12,14 @@ (* *) (**************************************************************************) -include "Basic-2/substitution/lift_lift.ma". -include "Basic-2/substitution/drop.ma". +include "Basic_2/substitution/lift_lift.ma". +include "Basic_2/substitution/drop.ma". (* DROPPING *****************************************************************) (* Main properties **********************************************************) -(* Basic-1: was: drop_mono *) +(* Basic_1: was: drop_mono *) theorem drop_mono: ∀d,e,L,L1. ↓[d, e] L ≡ L1 → ∀L2. ↓[d, e] L ≡ L2 → L1 = L2. #d #e #L #L1 #H elim H -H d e L L1 @@ -36,7 +36,7 @@ theorem drop_mono: ∀d,e,L,L1. ↓[d, e] L ≡ L1 → ] qed. -(* Basic-1: was: drop_conf_ge *) +(* Basic_1: was: drop_conf_ge *) theorem drop_conf_ge: ∀d1,e1,L,L1. ↓[d1, e1] L ≡ L1 → ∀e2,L2. ↓[0, e2] L ≡ L2 → d1 + e1 ≤ e2 → ↓[0, e2 - e1] L1 ≡ L2. @@ -55,7 +55,7 @@ theorem drop_conf_ge: ∀d1,e1,L,L1. ↓[d1, e1] L ≡ L1 → ] qed. -(* Basic-1: was: drop_conf_lt *) +(* Basic_1: was: drop_conf_lt *) theorem drop_conf_lt: ∀d1,e1,L,L1. ↓[d1, e1] L ≡ L1 → ∀e2,K2,I,V2. ↓[0, e2] L ≡ K2. 𝕓{I} V2 → e2 < d1 → let d ≝ d1 - e2 - 1 in @@ -77,7 +77,7 @@ theorem drop_conf_lt: ∀d1,e1,L,L1. ↓[d1, e1] L ≡ L1 → ] qed. -(* Basic-1: was: drop_trans_le *) +(* Basic_1: was: drop_trans_le *) theorem drop_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. @@ -100,7 +100,7 @@ theorem drop_trans_le: ∀d1,e1,L1,L. ↓[d1, e1] L1 ≡ L → ] qed. -(* Basic-1: was: drop_trans_ge *) +(* Basic_1: was: drop_trans_ge *) theorem drop_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 -H d1 e1 L1 L @@ -122,6 +122,6 @@ theorem drop_trans_ge_comm: ∀d1,e1,e2,L1,L2,L. #e1 #e1 #e2 >commutative_plus /2 width=5/ qed. -(* Basic-1: was: drop_conf_rev *) +(* Basic_1: was: drop_conf_rev *) axiom drop_div: ∀e1,L1,L. ↓[0, e1] L1 ≡ L → ∀e2,L2. ↓[0, e2] L2 ≡ L → ∃∃L0. ↓[0, e1] L0 ≡ L2 & ↓[e1, e2] L0 ≡ L1.