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4 (* ||A|| A project by Andrea Asperti *)
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7 (* ||T|| The HELM team. *)
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15 include "basic_2/grammar/lenv.ma".
17 (* CONTEXT-SENSITIVE EQUIVALENCES FOR TERMS *********************************)
19 definition ceq: relation3 lenv term term ≝ λL,T1,T2. T1 = T2.
21 definition cfull: relation3 lenv term term ≝ λL,T1,T2. ⊤.
23 (* Basic properties *********************************************************)
25 lemma ceq_refl (L): reflexive … (ceq L).
28 lemma cfull_refl (L): reflexive … (cfull L).
31 lemma ceq_sym (L): symmetric … (ceq L).
34 lemma cfull_sym (L): symmetric … (cfull L).
37 lemma cfull_top (R:relation3 lenv term term) (L) (T1) (T2):
38 R L T1 T2 → cfull L T1 T2.
41 lemma ceq_cfull (L) (T1) (T2): ceq L T1 T2 → cfull L T1 T2.