matita/matita/contribs/lambdadelta/delayed_updating/unwind0/unwind2_rmap.ma

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  14
  15 include "delayed_updating/unwind0/unwind1_rmap.ma".
  16 include "delayed_updating/notation/functions/black_righttriangle_2.ma".
  17
  18 (* EXTENDED UNWIND FOR RELOCATION MAP ***************************************)
  19
  20 definition unwind2_rmap (f) (p): tr_map ≝
  21            (▶↑[f]p)∘(↑[p]f).
  22
  23 interpretation
  24   "extended unwind (relocation map)"
  25   'BlackRightTriangle f p = (unwind2_rmap f p).
  26
  27 (* Basic constructions ******************************************************)
  28
  29 lemma unwind2_rmap_unfold (f) (p):
  30       (▶↑[f]p)∘(↑[p]f) = ▶[f]p.
  31 // qed.
  32
  33 lemma unwind2_rmap_m_sn (f) (p):
  34       ▶[f]p = ▶[f](𝗺◗p).
  35 #f #p
  36 <unwind2_rmap_unfold in ⊢ (???%);
  37 <lift_rmap_m_sn <lift_path_m_sn //
  38 qed.
  39
  40 lemma unwind2_rmap_L_sn (f) (p):
  41       ▶[⫯f]p = ▶[f](𝗟◗p).
  42 #f #p
  43 <unwind2_rmap_unfold in ⊢ (???%);
  44 <lift_rmap_L_sn <lift_path_L_sn //
  45 qed.
  46
  47 lemma unwind2_rmap_A_sn (f) (p):
  48       ▶[f]p = ▶[f](𝗔◗p).
  49 #f #p
  50 <unwind2_rmap_unfold in ⊢ (???%);
  51 <lift_rmap_A_sn <lift_path_A_sn //
  52 qed.
  53
  54 lemma unwind2_rmap_S_sn (f) (p):
  55       ▶[f]p = ▶[f](𝗦◗p).
  56 #f #p
  57 <unwind2_rmap_unfold in ⊢ (???%);
  58 <lift_rmap_S_sn <lift_path_S_sn //
  59 qed.