(* *)
(**************************************************************************)
-include "basic_2/unfold/ltpss_sn_alt.ma".
include "basic_2/reducibility/cpr_tpss.ma".
include "basic_2/reducibility/cpr_cpr.ma".
include "basic_2/reducibility/cfpr_ltpss.ma".
| #I #L1 #L #V1 #V #_ #HV1 #IH #X #T1 #T2 #HT12 #H
elim (ltpss_sn_inv_tpss21 … H ?) -H // <minus_plus_m_m #L2 #V2 #HL2 #HV2 #H destruct
lapply (cpr_bind_dx false … HV1 HT12) -HV1 -HT12 #HT12
- lapply (cpr_tpss_trans … HT12 (-ⓑ{I}V2.T2) ?) -HT12 /2 width=1/ -HV2 /3 width=1/
+ lapply (cpr_tpss_trans … HT12 (-ⓑ{I}V2.T2) 0 (|L|) ?) -HT12 /2 width=1/ -HV2 /3 width=1/
]
qed.
elim (append_inj_dx … H ?) -H // -HX #_ #H destruct -X
lapply (ltpss_sn_fwd_length … HL2) >append_length >append_length #H
lapply (injective_plus_r … H) -H #H
- @(ex3_1_intro … (⋆.ⓑ{I}V@@Y)) <append_assoc // -HT12
+ @(ex3_intro … (⋆.ⓑ{I}V@@Y)) <append_assoc // -HT12
<append_assoc [ /3 width=1/ ] -HV1 -HY
>append_length <associative_plus
@(ltpss_sn_dx_trans_eq … HL2) -HL2 >H -H >commutative_plus /3 width=1/