Posets, AsbtractSimplicialComplex, Shelling #19
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slashbade
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Apr 4, 2024
JQChong
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* Fix unsolved goal * test pr * Update PosetChain.lean * Update PosetChain.lean * chain_nodup & chain_singleton_of_head_eq_tail * Update PosetChain.lean * maximal_chain'₂_iff_ledot & maximal_chain_iff_cover * small improve * maximal_chain'_cons * Update PosetChain.lean * prove 2 6 * Update PosetChain.lean * tmp * prove 8th lemma * Update PosetChain.lean * poset * max_chain_mem_edge & new lemma mem_adjPairs_iff * mem_adjPairs_iff * Update PosetChain.lean * PosetGraded && change of PosetChain (#12) * Update AbstractSimplicialComplex.lean Make all comments docComments * Update AbstractSimplicialComplex.lean * Update AbstractSimplicialComplex.lean * Update ASCShelling.lean Fix a mispelling * update ASC * change `simp` to `simp only` * i love coxeter groups(bushi ) * Update AbstractSimplicialComplex.lean * Update AbstractSimplicialComplex.lean * update ASC * Update AbstractSimplicialComplex.lean change `\U i\in s` to `\U i : s` * Update AbstractSimplicialComplex.lean * change rank to finite version * PosetGraded --------- Co-authored-by: Lei Bichang <leibichang58@ruc.edu.cn> Co-authored-by: Lei Bichang <140472311+Prowler99@users.noreply.github.com> Co-authored-by: Haotian Liu <545318535@qq.com> Co-authored-by: lpya942 <mec2009470@xmu.edu.my> Co-authored-by: Haocheng Wang <152980872+hcWang942@users.noreply.github.com> * Develop (#13) * Sync with NUS && fmt (#14) * Update AbstractSimplicialComplex.lean Make all comments docComments * Update AbstractSimplicialComplex.lean * Update AbstractSimplicialComplex.lean * Update ASCShelling.lean Fix a mispelling * update ASC * change `simp` to `simp only` * i love coxeter groups(bushi ) * Update AbstractSimplicialComplex.lean * Update AbstractSimplicialComplex.lean * update ASC * Update AbstractSimplicialComplex.lean change `\U i\in s` to `\U i : s` * Update AbstractSimplicialComplex.lean * Update AbstractSimplicialComplex.lean * update ASC (#5) * fmt * update ASC (#6) * update ASC * update ASC * Update AbstractSimplicialComplex.lean * Prove `closure_eq_iSup` 1. prove that taking supremum commutes with taking closure 2. prove `closure_eq_iSup` * Update AbstractSimplicialComplex.lean (#7) * Update AbstractSimplicialComplex.lean * Update AbstractSimplicialComplex.lean * Revert "Update AbstractSimplicialComplex.lean (#7)" (#8) This reverts commit 512d8fe. --------- Co-authored-by: Lei Bichang <leibichang58@ruc.edu.cn> Co-authored-by: Lei Bichang <140472311+Prowler99@users.noreply.github.com> Co-authored-by: Haotian Liu <545318535@qq.com> Co-authored-by: lpya942 <mec2009470@xmu.edu.my> Co-authored-by: Haocheng Wang <152980872+hcWang942@users.noreply.github.com> Co-authored-by: Haotian Liu <98384450+HaotianLiu123@users.noreply.github.com> Co-authored-by: slashbade <143721150+slashbade@users.noreply.github.com> * Develop (#15) * PosetASC aux sorries (#16) * fmt * fmt * aux for PosetASC * Update PosetChain.lean (#17) * prove Delta using List.filter (#18) * Develop (#20) * Create ReflectionOrder.lean * ReflectionOrder init * Update ReflectionOrder.lean * fix Hecke * Update Defs.lean * Update Defs.lean * redef * reflAlg init * Update GraphSearchAux.lean * Update GraphSearchAux.lean * fix refl * Update InitialSectionsOfRelf.lean * bruhat order locally finite * try to define h * Update PosetChain.lean * Update PosetASC.lean * Prove length_diff_one and dependent lemmas. * fix * fix Hecke * fix Rpoly * 000 --------- Co-authored-by: jjdishere <emailboxofjjd@163.com> Co-authored-by: ampan98 <e0407566@u.nus.edu> Co-authored-by: slashbade <143721150+slashbade@users.noreply.github.com> Co-authored-by: Chong Jing Quan <jingquan0302@gmail.com> * PosetASC Pure (#19) * Update PosetChain.lean * Update PosetASC.lean * 000 * PosetASC * Clear * sync --------- Co-authored-by: XintaoYu <145187850+XintaoYu@users.noreply.github.com> Co-authored-by: XintaoYu <2019202446@ruc.edu.cn> --------- Co-authored-by: timechess <tyc221@ruc.edu.cn> Co-authored-by: zsj <2951037717@qq.com> Co-authored-by: zzsj2001 <106316577+zzsj2001@users.noreply.github.com> Co-authored-by: Hennessy <1837184819@qq.com> Co-authored-by: Lei Bichang <leibichang58@ruc.edu.cn> Co-authored-by: Lei Bichang <140472311+Prowler99@users.noreply.github.com> Co-authored-by: Haotian Liu <545318535@qq.com> Co-authored-by: lpya942 <mec2009470@xmu.edu.my> Co-authored-by: Haocheng Wang <152980872+hcWang942@users.noreply.github.com> Co-authored-by: Haotian Liu <98384450+HaotianLiu123@users.noreply.github.com> Co-authored-by: slashbade <143721150+slashbade@users.noreply.github.com> Co-authored-by: jjdishere <emailboxofjjd@163.com> Co-authored-by: ampan98 <e0407566@u.nus.edu> Co-authored-by: Chong Jing Quan <jingquan0302@gmail.com>
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Sketched a road map towards some basic properties about the shellings on a poset.