X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Fgcp_cr.ma;h=ae7140efe5feb5de76f94d4c0d2ff78a53278419;hp=562169f0cb3784f800e0bd32eebbd484bf090413;hb=a77d0bd6a04e94f765d329d47b37d9e04d349b14;hpb=b598b37379baabef24ae511596be7f740cbb0c2e diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/gcp_cr.ma b/matita/matita/contribs/lambdadelta/basic_2/static/gcp_cr.ma index 562169f0c..ae7140efe 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/static/gcp_cr.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/static/gcp_cr.ma @@ -111,17 +111,17 @@ lemma acr_gcr: ∀RR,RS,RP. gcp RR RS RP → gcr RR RS RP RP → | #G #L #Vs #HVs #T #H1T #H2T #f #L0 #V0 #X #HL0 #H #HB elim (lifts_inv_applv1 … H) -H #V0s #T0 #HV0s #HT0 #H destruct lapply (s1 … IHB … HB) #HV0 - @(s2 … IHA … (V0@V0s)) /3 width=13 by cp0, gcp2_all, lifts_simple_dx, conj/ + @(s2 … IHA … (V0⨮V0s)) /3 width=13 by cp0, gcp2_all, lifts_simple_dx, conj/ | #p #G #L #Vs #U #T #W #HA #f #L0 #V0 #X #HL0 #H #HB elim (lifts_inv_applv1 … H) -H #V0s #X0 #HV0s #H0 #H destruct elim (lifts_inv_flat1 … H0) -H0 #U0 #X #HU0 #HX #H destruct elim (lifts_inv_bind1 … HX) -HX #W0 #T0 #HW0 #HT0 #H destruct - @(s3 … IHA … (V0@V0s)) /5 width=6 by lifts_applv, lifts_flat, lifts_bind/ + @(s3 … IHA … (V0⨮V0s)) /5 width=6 by lifts_applv, lifts_flat, lifts_bind/ | #G #L #Vs #HVs #s #f #L0 #V0 #X #HL0 #H #HB elim (lifts_inv_applv1 … H) -H #V0s #X0 #HV0s #H0 #H destruct >(lifts_inv_sort1 … H0) -X0 lapply (s1 … IHB … HB) #HV0 - @(s4 … IHA … (V0@V0s)) /3 width=7 by gcp2_all, conj/ + @(s4 … IHA … (V0⨮V0s)) /3 width=7 by gcp2_all, conj/ | #I #G #L #K #Vs #V1 #V2 #i #HA #HV12 #HLK #f #L0 #V0 #X #HL0 #H #HB elim (lifts_inv_applv1 … H) -H #V0s #X0 #HV0s #H0 #H destruct elim (lifts_inv_lref1 … H0) -H0 #j #Hf #H destruct @@ -133,13 +133,13 @@ lemma acr_gcr: ∀RR,RS,RP. gcp RR RS RP → gcr RR RS RP RP → elim (lifts_total W1 (𝐔❴↑j❵)) #W2 #HW12 lapply (lifts_trans … HVW1 … HW12 ??) -HVW1 [3: |*: // ] #H lapply (lifts_conf … HV12 … H f ?) -V1 [ /2 width=3 by after_uni_succ_sn/ ] #HVW2 - @(s5 … IHA … (V0@V0s) … HW12) /3 width=4 by drops_inv_gen, lifts_applv/ + @(s5 … IHA … (V0⨮V0s) … HW12) /3 width=4 by drops_inv_gen, lifts_applv/ | #G #L #V1s #V2s #HV12s #p #V #T #HA #HV #f #L0 #V10 #X #HL0 #H #HB elim (lifts_inv_applv1 … H) -H #V10s #X0 #HV10s #H0 #H destruct elim (lifts_inv_bind1 … H0) -H0 #V0 #T0 #HV0 #HT0 #H destruct elim (lifts_total V10 (𝐔❴1❵)) #V20 #HV120 elim (liftsv_total (𝐔❴1❵) V10s) #V20s #HV120s - @(s6 … IHA … (V10@V10s) (V20@V20s)) /3 width=7 by cp2, liftsv_cons/ + @(s6 … IHA … (V10⨮V10s) (V20⨮V20s)) /3 width=7 by cp2, liftsv_cons/ @(HA … (⫯f)) /3 width=2 by drops_skip, ext2_pair/ [ @lifts_applv // lapply (liftsv_trans … HV10s … HV120s ??) -V10s [3: |*: // ] #H @@ -150,7 +150,7 @@ lemma acr_gcr: ∀RR,RS,RP. gcp RR RS RP → gcr RR RS RP RP → | #G #L #Vs #T #W #HA #HW #f #L0 #V0 #X #HL0 #H #HB elim (lifts_inv_applv1 … H) -H #V0s #X0 #HV0s #H0 #H destruct elim (lifts_inv_flat1 … H0) -H0 #W0 #T0 #HW0 #HT0 #H destruct - @(s7 … IHA … (V0@V0s)) /3 width=5 by lifts_applv/ + @(s7 … IHA … (V0⨮V0s)) /3 width=5 by lifts_applv/ ] qed.