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@ -1296,18 +1296,18 @@ Lemma coqeq_complete' k (a b : PTm ) :
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Proof.
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move : k a b.
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elim /Wf_nat.lt_wf_ind.
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move => k ih.
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move => a b /[dup] h /algo_metric_case. move : k a b h => [:hstepL].
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move => k a b h.
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move => n ih.
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move => a b /[dup] h /algo_metric_case. move : a b h => [:hstepL].
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move => a b h.
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(* Cases where a and b can take steps *)
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case; cycle 1.
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move : k a b h.
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move : ih a b h.
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abstract : hstepL. qauto l:on use:HRed.preservation, CE_HRedL, hred_hne.
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move /algo_metric_sym /algo_metric_case : (h).
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case; cycle 1.
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move {ih}. move /algo_metric_sym : h.
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move : hstepL => /[apply].
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hauto lq:on use:coqeq_symmetric_mutual, algo_metric_sym.
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move : hstepL; repeat move /[apply].
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best use:coqeq_symmetric_mutual, algo_metric_sym.
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(* Cases where a and b can't take wh steps *)
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move {hstepL}.
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move : k a b h. move => [:hnfneu].
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