matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_rmap_eq.ma

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  14
  15 include "delayed_updating/substitution/lift_rmap.ma".
  16 include "delayed_updating/substitution/prelift_rmap_eq.ma".
  17 include "ground/lib/stream_tls_plus.ma".
  18 include "ground/arith/nat_plus_rplus.ma".
  19 include "ground/arith/nat_rplus_pplus.ma".
  20
  21 (* LIFT FOR RELOCATION MAP **************************************************)
  22
  23 (* Constructions with lift_eq ***********************************************)
  24
  25 lemma lift_rmap_eq_repl (p):
  26       stream_eq_repl … (λf1,f2. 🠢[f1]p ≗ 🠢[f2]p).
  27 #p elim p -p //
  28 #l #p #IH #f1 #f2 #Hf
  29 /3 width=1 by prelift_rmap_eq_repl/
  30 qed.
  31
  32 lemma tls_lift_rmap_d_dx (f) (p) (n) (k):
  33       ⇂*[n+k]🠢[f]p ≗ ⇂*[n]🠢[f](p◖𝗱k).
  34 #f #p #n #k
  35 <lift_rmap_d_dx >nrplus_inj_dx >nrplus_inj_sn //
  36 qed.