OAI/CategoryTheory/Thomason/RankedExchange.lean
44 declarations, 0 contain sorry, 0 declared as axioms
Ranked Exchange.
- inductive
OAI.Thomason.DirectedComplex.RankedAtoms.AtomPathline 18 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.AtomPath.boundedline 29 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.AtomPath.topSequenceline 36 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.AtomPath.appendline 42 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.AtomPath.singleline 58 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.AtomPath.coefficientline 68 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.AtomPath.nodupline 83 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.AtomPath.perm_of_image_eqline 92 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.AtomPath.dim_of_memline 102 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.topSequence_pathline 113 - theorem
OAI.Thomason.GrayRecursive.IntervalHom.tensor_atom_pathline 136 - def
OAI.Thomason.DirectedComplex.RankedAtoms.orderRankline 158 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.orderRank_strictline 161 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.orderRank_injectiveline 171 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.rank_le_of_orderRank_leline 183 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.table_topSequenceline 188 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.table_single_whiskerline 200 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.AtomPath.massline 210 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.AtomPath.sorted_list_uniqueline 220 - theorem
OAI.Thomason.DirectedComplex.RankedAtoms.table_sorted_atomPathline 233 - def
OAI.Thomason.DirectedComplex.RankedAtoms.WhiskerFaithfulline 316 - def
OAI.Thomason.DirectedComplex.RankedAtoms.HasAdjacentExchangeline 320 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.AtomPath.eq_of_same_listline 338 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.AtomPath.eq_of_sortedline 375 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.AtomPath.insert_sortedline 387 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.AtomPath.sortedline 444 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.AtomPath.eq_of_exchangeline 454 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.onCells_injective_of_exchangeline 466 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.AtomPath.of_singleline 496 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.AtomPath.nil_boundedline 506 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.AtomPath.view_consline 510 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.AtomPath.singleton_dataline 519 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.table_whiskerFaithfulline 528 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.table_hasAdjacentExchangeline 532 - def
OAI.Thomason.DirectedComplex.RankedAtoms.TwoAtomFaithfulline 561 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.whiskerFaithful_of_twoAtomFaithfulline 565 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.hasAdjacentExchange_of_twoAtomFaithfulline 574 - lemma
OAI.Thomason.DirectedComplex.RankedAtoms.onCells_injective_of_twoAtomFaithfulline 624 - lemma
OAI.Thomason.GrayRecursive.IntervalHom.chainComparison_onCells_injective_of_twoAtomFaithfulline 644 - def
OAI.Thomason.GrayRecursive.IntervalHom.finLiftOrderIsoline 669 - def
OAI.Thomason.GrayRecursive.IntervalHom.standardPrismBasisline 673 - theorem
OAI.Thomason.GrayRecursive.IntervalHom.fullMain_of_standard_twoAtomFaithfulline 677 - lemma
OAI.Thomason.GrayRecursive.IntervalHom.chainComparison_onCells_injective_of_local_exchangeline 693 - theorem
OAI.Thomason.GrayRecursive.IntervalHom.fullMain_of_standard_local_exchangeline 711