matita/matita/contribs/lambdadelta/static_2/s_transition/fqu_length.ma

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  14
  15 include "static_2/syntax/lenv_length.ma".
  16 include "static_2/s_transition/fqu.ma".
  17
  18 (* SUPCLOSURE ***************************************************************)
  19
  20 (* Forward lemmas with length for local environments ************************)
  21
  22 fact fqu_fwd_length_lref1_aux: ∀b,G1,G2,L1,L2,T1,T2. ❨G1,L1,T1❩ ⬂[b] ❨G2,L2,T2❩ →
  23                                ∀i. T1 = #i → |L2| < |L1|.
  24 #b #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2 // [2,3: #p]
  25 #I #G #L #V #T [1,2: #_ ] #j #H destruct
  26 qed-.
  27
  28 lemma fqu_fwd_length_lref1: ∀b,G1,G2,L1,L2,T2,i. ❨G1,L1,#i❩ ⬂[b] ❨G2,L2,T2❩ →
  29                             |L2| < |L1|.
  30 /2 width=8 by fqu_fwd_length_lref1_aux/
  31 qed-.