matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_rmap_unprotected.ma

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  11 (*        v         GNU General Public License Version 2                  *)
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  14
  15 include "delayed_updating/unwind/unwind2_rmap_closed.ma".
  16 include "delayed_updating/syntax/path_balanced.ma".
  17 include "delayed_updating/syntax/path_structure.ma".
  18
  19 (* TAILED UNWIND FOR RELOCATION MAP *****************************************)
  20
  21 (* Example of unprotected balanced path *************************************)
  22
  23 definition b: path ≝ 𝐞◖𝗔◖𝗟◖𝗱𝟏.
  24
  25 lemma b_unfold: 𝐞◖𝗔◖𝗟◖𝗱𝟏 = b.
  26 // qed.
  27
  28 lemma b_balanced: ⊗b ϵ 𝐁.
  29 <b_unfold <structure_d_dx
  30 /2 width=1 by pbc_empty, pbc_redex/
  31 qed.
  32
  33 lemma b_closed: b ϵ 𝐂❨𝟎❩.
  34 /4 width=1 by pcc_A_sn, pcc_empty, pcc_d_dx, pcc_L_dx/
  35 qed.
  36
  37 lemma b_unwind2_rmap_unfold (f):
  38       (⫯f)∘𝐮❨𝟏❩ = ▶[f]b.
  39 // qed.
  40
  41 lemma b_unwind2_rmap_pap_unit (f):
  42       ↑(f＠⧣❨𝟏❩) = ▶[f]b＠⧣❨𝟏❩.
  43 // qed.