Add stub for the new coqleq_complete'

This commit is contained in:
Yiyun Liu 2025-03-11 00:14:43 -04:00
parent 181e06ae01
commit 96ad0a4740
5 changed files with 193 additions and 300 deletions

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@ -3,19 +3,3 @@ From Hammer Require Import Tactics.
Require Import ssreflect ssrbool.
From stdpp Require Import relations (nsteps (..), rtc(..)).
Import Psatz.
Lemma sn_term_metric (a b : PTm) : SN a -> SN b -> exists k, term_metric k a b.
Proof.
move /LoReds.FromSN => [va [ha0 ha1]].
move /LoReds.FromSN => [vb [hb0 hb1]].
eapply relations.rtc_nsteps in ha0.
eapply relations.rtc_nsteps in hb0.
hauto lq:on unfold:term_metric solve+:lia.
Qed.
Lemma sn_algo_dom a b : SN a -> SN b -> algo_dom_r a b.
Proof.
move : sn_term_metric; repeat move/[apply].
move => [k]+.
eauto using term_metric_algo_dom.
Qed.