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

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  14
  15 include "ground/relocation/gr_isd.ma".
  16 include "ground/relocation/gr_sle.ma".
  17
  18 (* INCLUSION FOR GENERIC RELOCATION MAPS ************************************)
  19
  20 (* Constructions with gr_isd ************************************************)
  21
  22 (*** sle_isdiv_dx *)
  23 corec lemma gr_sle_isd_dx:
  24             ∀f2. 𝛀❪f2❫ → ∀f1. f1 ⊆ f2.
  25 #f2 * -f2
  26 #f2 #g2 #Hf2 #H2 #f1 cases (gr_map_split_tl f1) *
  27 /3 width=5 by gr_sle_weak, gr_sle_next/
  28 qed.
  29
  30 (* Inversions with gr_isd ***************************************************)
  31
  32 (*** sle_inv_isdiv_sn *)
  33 corec lemma gr_sle_inv_isd_sn:
  34             ∀f1,f2. f1 ⊆ f2 → 𝛀❪f1❫ → 𝛀❪f2❫.
  35 #f1 #f2 * -f1 -f2
  36 #f1 #f2 #g1 #g2 #Hf * * #H
  37 [1,3: elim (gr_isd_inv_push … H) // ]
  38 lapply (gr_isd_inv_next … H ??) -H
  39 /3 width=3 by gr_isd_next/
  40 qed-.