matita/matita/contribs/lambdadelta/static_2/syntax/cl_restricted_weight.ma

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  14
  15 include "static_2/notation/functions/weight_2.ma".
  16 include "static_2/syntax/lenv_weight.ma".
  17
  18 (* WEIGHT OF A RESTRICTED CLOSURE *******************************************)
  19
  20 definition rfw: lenv → term → ? ≝ λL,T. ♯❨L❩ + ♯❨T❩.
  21
  22 interpretation "weight (restricted closure)" 'Weight L T = (rfw L T).
  23
  24 (* Basic properties *********************************************************)
  25
  26 lemma rfw_unfold (L) (T): ♯❨L❩ + ♯❨T❩ = ♯❨L,T❩.
  27 // qed.
  28
  29 (* Basic_1: was: flt_shift *)
  30 lemma rfw_shift: ∀p,I,K,V,T. ♯❨K.ⓑ[I]V,T❩ < ♯❨K,ⓑ[p,I]V.T❩.
  31 /2 width=1 by plt_plus_bi_sn/ qed.
  32
  33 lemma rfw_clear: ∀p,I1,I2,K,V,T. ♯❨K.ⓤ[I1],T❩ < ♯❨K,ⓑ[p,I2]V.T❩.
  34 /2 width=1 by plt_plus_bi_sn/ qed.
  35
  36 lemma rfw_tpair_sn: ∀I,L,V,T. ♯❨L,V❩ < ♯❨L,②[I]V.T❩.
  37 /2 width=1 by plt_plus_bi_sn/ qed.
  38
  39 lemma rfw_tpair_dx: ∀I,L,V,T. ♯❨L,T❩ < ♯❨L,②[I]V.T❩.
  40 /2 width=1 by plt_plus_bi_sn/ qed.
  41
  42 lemma rfw_lpair_sn: ∀I,L,V,T. ♯❨L,V❩ < ♯❨L.ⓑ[I]V,T❩.
  43 // qed.
  44
  45 lemma rfw_lpair_dx: ∀I,L,V,T. ♯❨L,T❩ < ♯❨L.ⓑ[I]V,T❩.
  46 /2 width=1 by plt_plus_bi_dx/ qed.
  47
  48 (* Basic_1: removed theorems 7:
  49             flt_thead_sx flt_thead_dx flt_trans
  50             flt_arith0 flt_arith1 flt_arith2 flt_wf_ind
  51 *)
  52 (* Basic_1: removed local theorems 1: q_ind *)