intros 2 (E x); intro H; cases H (_ ABS);
apply (ap_coreflexive ? x ABS);
qed.
-
-(*
+
lemma lt_transitive: ∀E.transitive ? (lt E).
intros (E); unfold; intros (x y z H1 H2); cases H1 (Lxy Axy); cases H2 (Lyz Ayz);
split; [apply (le_transitive ???? Lxy Lyz)] clear H1 H2;
intros (E a b Lab); cases Lab (LEab Aab);
cases Aab (H H); [cases (LEab H)] fold normalize (b ≰ a); assumption; (* BUG *)
qed.
-
-*)
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