matita/matita/contribs/lambdadelta/basic_2/grammar/cl_weight.ma

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  14
  15 include "basic_2/notation/functions/weight_2.ma".
  16 include "basic_2/grammar/lenv_weight.ma".
  17 include "basic_2/grammar/cl_shift.ma".
  18
  19 (* WEIGHT OF A CLOSURE ******************************************************)
  20
  21 definition fw: lenv → term → ? ≝ λL,T. ♯{L} + ♯{T}.
  22
  23 interpretation "weight (closure)" 'Weight L T = (fw L T).
  24
  25 (* Basic properties *********************************************************)
  26
  27 (* Basic_1: was: flt_shift *)
  28 lemma fw_shift: ∀a,K,I,V,T. ♯{K. ⓑ{I} V, T} < ♯{K, ⓑ{a,I} V. T}.
  29 normalize //
  30 qed.
  31
  32 lemma fw_tpair_sn: ∀I,L,V,T. ♯{L, V} < ♯{L, ②{I}V.T}.
  33 normalize in ⊢ (?→?→?→?→?%%); //
  34 qed.
  35
  36 lemma fw_tpair_dx: ∀I,L,V,T. ♯{L, T} < ♯{L, ②{I}V.T}.
  37 normalize in ⊢ (?→?→?→?→?%%); //
  38 qed.
  39
  40 lemma fw_lpair_sn: ∀I,L,V,T. ♯{L, V} < ♯{L.ⓑ{I}V, T}.
  41 normalize /3 width=1 by monotonic_lt_plus_l, monotonic_le_plus_r/ (**) (* auto too slow without trace *)
  42 qed.
  43
  44 (* Basic_1: removed theorems 7:
  45             flt_thead_sx flt_thead_dx flt_trans
  46             flt_arith0 flt_arith1 flt_arith2 flt_wf_ind
  47 *)
  48 (* Basic_1: removed local theorems 1: q_ind *)