matita/matita/contribs/lambdadelta/delayed_updating/etc/prototerm_inner.etc

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  14
  15 include "delayed_updating/syntax/prototerm.ma".
  16 include "delayed_updating/syntax/path_inner.ma".
  17 include "ground/lib/subset_ext_equivalence.ma".
  18
  19 (* INNER CONDITION FOR PROTOTERM ********************************************)
  20
  21 interpretation
  22   "inner condition (prototerm)"
  23   'ClassI = (subset_ext_p1 path pic).
  24
  25 (* Basic destructions *******************************************************)
  26
  27 lemma in_comp_tic_trans (t) (p):
  28       p ϵ t → t ϵ 𝐈 → p ϵ 𝐈.
  29 #t #p #Hp #Ht
  30 @(Ht … Hp)
  31 qed-.
  32
  33 (* Basic inversions *********************************************************)
  34
  35 lemma tic_inv_d_dx (t) (p) (n):
  36       p◖𝗱n ϵ t → t ϵ 𝐈 → ⊥.
  37 /2 width=7 by in_comp_tic_trans/ qed-.