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

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  14
  15 include "ground/notation/functions/droppred_1.ma".
  16 include "ground/relocation/rtmap_eq.ma".
  17
  18 (* RELOCATION MAP ***********************************************************)
  19
  20 definition tl: rtmap → rtmap.
  21 @case_type0 #f @f
  22 defined.
  23
  24 interpretation "tail (rtmap)" 'DropPred f = (tl f).
  25
  26 (* Basic properties *********************************************************)
  27
  28 lemma tl_rew: ∀f. case_type0 (λ_:rtmap.rtmap) (λf:rtmap.f) (λf:rtmap.f) f = ⫱f.
  29 // qed.
  30
  31 lemma tl_push_rew: ∀f. f = ⫱⫯f.
  32 #f <tl_rew <iota_push //
  33 qed.
  34
  35 lemma tl_next_rew: ∀f. f = ⫱↑f.
  36 #f <tl_rew <iota_next //
  37 qed.
  38
  39 lemma tl_eq_repl: eq_repl … (λf1,f2. ⫱f1 ≡ ⫱f2).
  40 #f1 #f2 * -f1 -f2 //
  41 qed.