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15 include "basic_2/computation/csn_cpr.ma".
16 include "basic_2/computation/csn_vector.ma".
18 (* Advanced forward lemmas **************************************************)
20 lemma csn_fwd_applv: ∀L,T,Vs. L ⊢ ⬊* Ⓐ Vs. T → L ⊢ ⬊* Vs ∧ L ⊢ ⬊* T.
21 #L #T #Vs elim Vs -Vs /2 width=1/
23 lapply (csn_fwd_pair_sn … HVs) #HV
24 lapply (csn_fwd_flat_dx … HVs) -HVs #HVs
25 elim (IHVs HVs) -IHVs -HVs /3 width=1/