matita/matita/contribs/lambdadelta/basic_2A/grammar/cl_weight.ma

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  14
  15 include "basic_2A/notation/functions/weight_3.ma".
  16 include "basic_2A/grammar/lenv_weight.ma".
  17 include "basic_2A/grammar/genv.ma".
  18
  19 (* WEIGHT OF A CLOSURE ******************************************************)
  20
  21 (* activate genv *)
  22 definition fw: genv → lenv → term → ? ≝ λG,L,T. ♯{L} + ♯{T}.
  23
  24 interpretation "weight (closure)" 'Weight G L T = (fw G L T).
  25
  26 (* Basic properties *********************************************************)
  27
  28 lemma fw_shift: ∀a,I,G,K,V,T. ♯{G, K.ⓑ{I}V, T} < ♯{G, K, ⓑ{a,I}V.T}.
  29 normalize //
  30 qed.
  31
  32 lemma fw_tpair_sn: ∀I,G,L,V,T. ♯{G, L, V} < ♯{G, L, ②{I}V.T}.
  33 normalize in ⊢ (?→?→?→?→?→?%%); //
  34 qed.
  35
  36 lemma fw_tpair_dx: ∀I,G,L,V,T. ♯{G, L, T} < ♯{G, L, ②{I}V.T}.
  37 normalize in ⊢ (?→?→?→?→?→?%%); //
  38 qed.
  39
  40 lemma fw_lpair_sn: ∀I,G,L,V,T. ♯{G, L, V} < ♯{G, L.ⓑ{I}V, T}.
  41 normalize /3 width=1 by monotonic_lt_plus_l, monotonic_le_plus_r/
  42 qed.