(* *)
(**************************************************************************)
+include "basic_2/computation/dxprs_dxprs.ma".
include "basic_2/dynamic/snv_cpcs.ma".
+include "basic_2/dynamic/lsubsv_snv.ma".
(* STRATIFIED NATIVE VALIDITY FOR TERMS *************************************)
lapply (IH1 … HV1 … HL12 … HV12) [ /2 width=1/ ] #HV2
lapply (IH1 … HT1 … HL12 … HT12) [ /2 width=1/ ] #HT2
elim (IH3 … HVW1 … HL12 … HV12) -HVW1 -HV12 // -HV1 [2: /2 width=1/ ] #W2 #HVW2 #HW12
- lapply (cpcs_cprs_conf … HW10 … HW12) -W10 #HW12
- elim (dxprs_cprs_aux … IH2 IH1 IH3 … T2 … HTU1) // [2: /3 width=1/ |3: /2 width=1/ ] -IH2 -IH1 -IH3 -HT1 -HT12 -HTU1 #U2 #HTU2 #HU12
- @(snv_appl … HV2 HT2 HVW2)
-(*
- lapply (IH1 … HT1 … HTU1) -IH1 // #H
- elim (snv_inv_bind … H) -H #HW1 #HU1
- elim (IH2 … HVW1 … HL12 … HV12 HV1) -IH2 -HVW1 -HV12 -HV1 // #W2 #HVW2 #HW12
-*)
+ elim (dxprs_ltpr_cprs_aux … IH2 IH1 IH3 … HTU1 … HL12 T2) // [2: /3 width=1/ |3: /2 width=1/ ] -IH2 -IH1 -IH3 -HT1 -HT12 -HTU1 #X #HTU2 #H
+ elim (cprs_inv_abst1 Abst W1 … H) -H #W20 #U2 #HW120 #_ #H destruct
+ lapply (ltpr_cprs_conf … HL12 … HW10) -L1 #HW10
+ lapply (cpcs_cprs_strap1 … HW10 … HW120) -W1 #HW120
+ lapply (cpcs_canc_sn … HW12 HW120) -W10 #HW20
+ elim (cpcs_inv_cprs … HW20) -HW20 #W0 #HW20 #HW200
+ lapply (dxprs_cprs_trans … (ⓛ{a}W0.U2) HTU2 ?) [ /2 width=1/ ] -HW200 /2 width=8/
+ | #b #V2 #W20 #T20 #T2 #HV12 #HT202 #H1 #H2 destruct
+ elim (snv_inv_bind … HT1) -HT1 #HW20 #HT20
+ elim (dxprs_inv_abst1 … HTU1) -HTU1 #W30 #T30 #HW230 #_ #H destruct -T30
+ lapply (cprs_div … HW230 … HW10) -W30 #HW210
+ lapply (ltpr_cpcs_conf … HL12 … HW210) -HW210 #HW210
+ lapply (IH1 … HL12 … HV12) // [ /2 width=1/ ] #HV2
+ lapply (IH1 … HW20 … HL12 W20 ?) // [ /2 width=1/ ] -HW20 #HW20
+ lapply (IH1 … HT20 … (L2.ⓛW20) … HT202) [1,2: /2 width=1/ ] -IH1 -HT20 -HT202 #HT2
+ elim (IH3 … HVW1 … HL12 … HV12) // [2: /2 width=1/ ] -HV1 -HVW1 -HV12 #W200 #HVW200 #H
+ lapply (cpcs_trans … HW210 … H) -W10 #HW200
+ lapply (lsubsv_snv_trans … HT2 (L2.ⓓV2) ?) -L1 -HT2 /2 width=1/ /2 width=4/
+ |
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