X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2FBasic_2%2Freducibility%2Fcpr_cpr.ma;h=236b953d8d104c4ff23f5b35c5d589df80a2a72c;hb=44c1079dabf1d3c0b69d0155ddbaea8627ec901c;hp=5553449943695983896ec6f6b8f3ce10ab944a46;hpb=48b202cd4ccd3ffc10f9a134314f747fdee30d36;p=helm.git diff --git a/matita/matita/contribs/lambda_delta/Basic_2/reducibility/cpr_cpr.ma b/matita/matita/contribs/lambda_delta/Basic_2/reducibility/cpr_cpr.ma index 555344994..236b953d8 100644 --- a/matita/matita/contribs/lambda_delta/Basic_2/reducibility/cpr_cpr.ma +++ b/matita/matita/contribs/lambda_delta/Basic_2/reducibility/cpr_cpr.ma @@ -21,7 +21,7 @@ include "Basic_2/reducibility/cpr.ma". lemma cpr_bind_sn: ∀I,L,V1,V2,T1,T2. L ⊢ V1 ➡ V2 → T1 ➡ T2 → L ⊢ ⓑ{I} V1. T1 ➡ ⓑ{I} V2. T2. -#I #L #V1 #V2 #T1 #T2 * #V #HV1 #HV2 #HT12 +#I #L #V1 #V2 #T1 #T2 * #V #HV1 #HV2 #HT12 @ex2_1_intro [2: @(tpr_delta … HV1 HT12) | skip ] /2 width=3/ (* /3 width=5/ is too slow *) qed. @@ -35,6 +35,13 @@ lapply (tpss_tps … HT0) -HT0 #HT0 @ex2_1_intro [2: @(tpr_delta … HV12 HT1 HT0) | skip | /2 width=1/ ] (**) (* /3 width=5/ is too slow *) qed. + +(* Basic_1: was only: pr2_head_1 *) +lemma cpr_pair_sn: ∀I,L,V1,V2,T1,T2. L ⊢ V1 ➡ V2 → T1 ➡ T2 → + L ⊢ ②{I} V1. T1 ➡ ②{I} V2. T2. +* /2 width=1/ /3 width=1/ +qed. + (* Advanced forward lemmas **************************************************) lemma cpr_shift_fwd: ∀L,T1,T2. L ⊢ T1 ➡ T2 → L @ T1 ➡ L @ T2.