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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
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15 include "basic_2/syntax/ceq_ext.ma".
17 (* CONTEXT-AWARE SYNTACTIC EQUIVALENCE FOR BINDERS **************************)
19 (* Main properties **********************************************************)
21 theorem ceq_ext_trans: ∀L1,I1,I. ceq_ext L1 I1 I →
22 ∀L2,I2. ceq_ext L2 I I2 → ∀L3. ceq_ext L3 I1 I2.
23 #L1 #I1 #I * -I1 -I //
24 #I1 #V1 #V #HV1 #L2 #Z #H elim (ext2_inv_pair_sn … H) -H //