matita/matita/contribs/lambdadelta/basic_2/static/lfeq.ma

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  14
  15 include "basic_2/notation/relations/lazyeqsn_3.ma".
  16 include "basic_2/static/lfxs.ma".
  17
  18 (* SYNTACTIC EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES *********)
  19
  20 (* Basic_2A1: was: lleq *)
  21 definition lfeq: relation3 term lenv lenv ≝
  22                  lfxs ceq.
  23
  24 interpretation
  25    "syntactic equivalence on referred entries (local environment)"
  26    'LazyEqSn T L1 L2 = (lfeq T L1 L2).
  27
  28 (***************************************************)
  29
  30 axiom lfeq_lfxs_trans: ∀R,L1,L,T. L1 ≡[T] L →
  31                        ∀L2. L ⪤*[R, T] L2 → L1 ⪤*[R, T] L2.
  32
  33 (* Basic_2A1: removed theorems 10:
  34               lleq_ind lleq_fwd_lref
  35               lleq_fwd_drop_sn lleq_fwd_drop_dx
  36               lleq_skip lleq_lref lleq_free
  37               lleq_Y lleq_ge_up lleq_ge
  38
  39 *)