OAI/RingTheory/Multiplicity/NormalizedLengthTrivialRelation.lean
29 declarations, 0 contain sorry, 0 declared as axioms
- lemma
OAI.Lech.NormalizedLength.trivialRelation_of_injective_flat_liftline 18 - lemma
OAI.Lech.NormalizedLength.Tower.finite_collection_stageline 38 - lemma
OAI.Lech.NormalizedLength.Tower.nontrivial_limitline 46 - lemma
OAI.Lech.NormalizedLength.Tower.local_limitline 50 - lemma
OAI.Lech.NormalizedLength.Tower.local_to_limitline 58 - lemma
OAI.Lech.NormalizedLength.Tower.flat_limitline 76 - lemma
OAI.Lech.NormalizedLength.Tower.faithfullyFlat_limitline 89 - lemma
OAI.Lech.NormalizedLength.liftBaseChange_mk_injectiveline 103 - lemma
OAI.Lech.NormalizedLength.length_span_baseChangeline 114 - lemma
OAI.Lech.NormalizedLength.span_baseChange_eq_topline 125 - lemma
OAI.Lech.NormalizedLength.Tower.stage_baseChangeline 136 - lemma
OAI.Lech.NormalizedLength.Tower.length_baseChangeline 158 - def
OAI.Lech.NormalizedLength.Tower.presentedLengthsline 186 - lemma
OAI.Lech.NormalizedLength.Tower.stage_mem_presentedLengthsline 190 - theorem
OAI.Lech.NormalizedLength.Tower.length_eq_sInf_presentedline 206 - lemma
OAI.Lech.NormalizedLength.map_le_annihilator_baseChangeline 225 - lemma
OAI.Lech.NormalizedLength.le_annihilator_submoduleline 239 - def
OAI.Lech.NormalizedLength.Tower.torsionPresentedLengthsline 259 - lemma
OAI.Lech.NormalizedLength.Tower.stage_mem_torsionPresentedLengthsline 264 - theorem
OAI.Lech.NormalizedLength.Tower.length_eq_sInf_torsionPresentedline 291 - def
OAI.Lech.RootTower.regularTowerline 314 - def
OAI.Lech.RootTower.normalizedLengthline 347 - lemma
OAI.Lech.RootTower.normalizedLength_stageline 351 - def
OAI.Lech.TensorTransport.reindexline 376 - lemma
OAI.Lech.TensorTransport.reindex_tmulline 382 - lemma
OAI.Lech.TensorTransport.twist_towerline 393 - lemma
OAI.Lech.TensorTransport.twist_lengthline 404 - lemma
OAI.Lech.TensorTransport.twist_finiteline 412 - lemma
OAI.Lech.RootTower.normalizedLength_rootBaseChangeline 430