matita/matita/contribs/lambdadelta/basic_2/etc_new/ceq.etc

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  14
  15 include "basic_2/syntax/lenv.ma".
  16
  17 (* CONTEXT-SENSITIVE EQUIVALENCES FOR TERMS *********************************)
  18
  19 definition ceq: relation3 lenv term term ≝ λL,T1,T2. T1 = T2.
  20
  21 definition cfull: relation3 lenv term term ≝ λL,T1,T2. ⊤.
  22
  23 (* Basic properties *********************************************************)
  24
  25 lemma ceq_refl (L): reflexive … (ceq L).
  26 // qed.
  27
  28 lemma cfull_refl (L): reflexive … (cfull L).
  29 // qed.
  30
  31 lemma ceq_sym (L): symmetric … (ceq L).
  32 // qed-.
  33
  34 lemma cfull_sym (L): symmetric … (cfull L).
  35 // qed-.
  36
  37 lemma cfull_top (R:relation3 lenv term term) (L) (T1) (T2):
  38                 R L T1 T2 → cfull L T1 T2.
  39 // qed-.
  40
  41 lemma ceq_cfull (L) (T1) (T2): ceq L T1 T2 → cfull L T1 T2.
  42 // qed.