matita/matita/contribs/lambdadelta/apps_2/models/deq.ma

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  14
  15 include "apps_2/notation/models/ringeq_5.ma".
  16 include "apps_2/models/li.ma".
  17 include "static_2/syntax/genv.ma".
  18
  19 (* DENOTATIONAL EQUIVALENCE  ************************************************)
  20
  21 definition deq (M): relation4 genv lenv term term ≝
  22                     λG,L,T1,T2. ∀gv,lv. lv ϵ ⟦L⟧[gv] → ⟦T1⟧[gv,lv] ≗{M} ⟦T2⟧[gv,lv].
  23
  24 interpretation "denotational equivalence (model)"
  25    'RingEq M G L T1 T2 = (deq M G L T1 T2).
  26
  27 (* Basic properties *********************************************************)
  28
  29 lemma deq_refl (M): is_model M →
  30                     ∀G,L. reflexive … (deq M G L).
  31 /2 width=1 by mr/ qed.
  32 (*
  33 lemma veq_sym: ∀M. symmetric … (veq M).
  34 // qed-.
  35
  36 theorem veq_trans: ∀M. transitive … (veq M).
  37 // qed-.
  38 *)