OAI/RingTheory/BassTrace/Definitions.lean
30 declarations, 0 contain sorry, 0 declared as axioms
Core definitions for matrix and projective-module traces.
- structure
OAI.BassTrace.K0.Idempotentline 19Also declared: ComparatorChallenges/BassTorsionFree.lean:101 (same declaration text), ComparatorChallenges/BassTrace.lean:30 (same declaration text).
- def
OAI.BassTrace.K0.directSumline 26Also declared: ComparatorChallenges/BassTorsionFree.lean:108 (same declaration text), ComparatorChallenges/BassTrace.lean:37 (same declaration text).
- def
OAI.BassTrace.K0.relationGeneratorsline 33Also declared: ComparatorChallenges/BassTorsionFree.lean:115 (same declaration text), ComparatorChallenges/BassTrace.lean:44 (same declaration text).
- def
OAI.BassTrace.K0.relationsline 39Also declared: ComparatorChallenges/BassTorsionFree.lean:121 (same declaration text), ComparatorChallenges/BassTrace.lean:50 (same declaration text).
- instance
OAI.BassTrace.K0.relations_normalline 42Also declared: ComparatorChallenges/BassTorsionFree.lean:124 (same declaration text), ComparatorChallenges/BassTrace.lean:53 (same declaration text).
- abbrev
OAI.BassTrace.K0.Groupline 44Distinct definitions of this name: ComparatorChallenges/BassTorsionFree.lean:126 (same statement text; different proof or body), ComparatorChallenges/BassTrace.lean:55 (same declaration text). Qualify references as OAI.BassTrace.K0.Group@path.
- def
OAI.BassTrace.K0.classOfline 46Also declared: ComparatorChallenges/BassTrace.lean:57 (same declaration text).
- instance
OAI.BassTrace.K0.groupRingRelations_normalline 50Also declared: ComparatorChallenges/BassTorsionFree.lean:130 (same declaration text), ComparatorChallenges/BassTrace.lean:61 (same declaration text).
- def
OAI.BassTrace.K0.rawCoefficientline 52Also declared: ComparatorChallenges/BassTorsionFree.lean:132 (same declaration text), ComparatorChallenges/BassTrace.lean:63 (same declaration text).
- def
OAI.BassTrace.K0.classTraceline 59Also declared: ComparatorChallenges/BassTrace.lean:70 (same declaration text).
- def
OAI.BassTrace.K0.rawTraceline 62Distinct definitions of this name: ComparatorChallenges/BassTrace.lean:73 (same statement text; different proof or body). Qualify references as OAI.BassTrace.K0.rawTrace@path.
- def
OAI.BassTrace.K0.HattoriStallingsline 66Also declared: ComparatorChallenges/BassTrace.lean:76 (same declaration text).
- instance
OAI.BassTrace.RightProjective.rightModuleIdentityRingHomInvPairline 190Also declared: ComparatorChallenges/BassTrace.lean:200 (same declaration text).
- def
OAI.BassTrace.RightProjective.unopTransposeline 193Also declared: ComparatorChallenges/BassTrace.lean:203 (same declaration text).
- def
OAI.BassTrace.RightProjective.rightMatrixline 196Also declared: ComparatorChallenges/BassTrace.lean:206 (same declaration text).
- structure
OAI.BassTrace.RightProjective.Retractionline 199Also declared: ComparatorChallenges/BassTrace.lean:209 (same declaration text).
- def
OAI.BassTrace.RightProjective.Retraction.idempotentline 208Also declared: ComparatorChallenges/BassTrace.lean:218 (same declaration text).
- def
OAI.BassTrace.RightProjective.Retraction.transportline 232Also declared: ComparatorChallenges/BassTrace.lean:242 (same declaration text).
- def
OAI.BassTrace.RightProjective.freeSplitline 241Also declared: ComparatorChallenges/BassTrace.lean:251 (same declaration text).
- def
OAI.BassTrace.RightProjective.Retraction.prodline 245Also declared: ComparatorChallenges/BassTrace.lean:255 (same declaration text).
- structure
OAI.BassTrace.RightProjective.Objectline 265Also declared: ComparatorChallenges/BassTrace.lean:275 (same declaration text).
- def
OAI.BassTrace.RightProjective.Object.prodline 276Also declared: ComparatorChallenges/BassTrace.lean:286 (same declaration text).
- def
OAI.BassTrace.RightProjective.Object.retractionline 279Also declared: ComparatorChallenges/BassTrace.lean:289 (same declaration text).
- def
OAI.BassTrace.RightProjective.Object.presentationClassline 284Also declared: ComparatorChallenges/BassTrace.lean:294 (same declaration text).
- def
OAI.BassTrace.RightProjective.moduleRelationGeneratorsline 287Also declared: ComparatorChallenges/BassTrace.lean:297 (same declaration text).
- def
OAI.BassTrace.RightProjective.moduleRelationsline 293Also declared: ComparatorChallenges/BassTrace.lean:303 (same declaration text).
- abbrev
OAI.BassTrace.RightProjective.ModuleK0line 296Also declared: ComparatorChallenges/BassTrace.lean:306 (same declaration text).
- def
OAI.BassTrace.RightProjective.rawPresentationline 299Also declared: ComparatorChallenges/BassTrace.lean:309 (same declaration text).
- def
OAI.BassTrace.RightProjective.presentationline 302Also declared: ComparatorChallenges/BassTrace.lean:312 (same declaration text).
- def
OAI.BassTrace.RightProjective.HattoriStallingsline 457Also declared: ComparatorChallenges/BassTrace.lean:467 (same declaration text).