matita/matita/contribs/lambdadelta/ground/relocation/pr_sle_isi.ma

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  14
  15 include "ground/relocation/pr_isi.ma".
  16 include "ground/relocation/pr_sle.ma".
  17
  18 (* INCLUSION FOR PARTIAL RELOCATION MAPS ************************************)
  19
  20 (* Constructions with pr_isi ************************************************)
  21
  22 (*** sle_isid_sn *)
  23 corec lemma pr_sle_isi_sn:
  24             ∀f1. 𝐈❪f1❫ → ∀f2. f1 ⊆ f2.
  25 #f1 * -f1
  26 #f1 #g1 #Hf1 #H1 #f2 cases (pr_map_split_tl f2) *
  27 /3 width=5 by pr_sle_weak, pr_sle_push/
  28 qed.
  29
  30 (* Inversions with pr_isi ***************************************************)
  31
  32 (*** sle_inv_isid_dx *)
  33 corec lemma pr_sle_inv_isi_dx:
  34             ∀f1,f2. f1 ⊆ f2 → 𝐈❪f2❫ → 𝐈❪f1❫.
  35 #f1 #f2 * -f1 -f2
  36 #f1 #f2 #g1 #g2 #Hf * * #H
  37 [2,3: elim (pr_isi_inv_next … H) // ]
  38 lapply (pr_isi_inv_push … H ??) -H
  39 /3 width=3 by pr_isi_push/
  40 qed-.