OAI/RingTheory/DirectFiniteness/PrescribedSlots.lean
7 declarations, 0 contain sorry, 0 declared as axioms
- def
OAI.KaplanskyCounterexample.Prescription.slotPairOrderline 15 - def
OAI.KaplanskyCounterexample.Prescription.slotAssignmentline 21 - lemma
OAI.KaplanskyCounterexample.Prescription.slotAssignment_rankline 39Source documentation
The assigned pair has exactly the point's rank in the finite order, so the image consists of the first t pairs, with none skipped or repeated.
lemma slotAssignment_rank (hsize : Fintype.card V ≤ Fintype.card m * ℓ^2) (v : V) : letI := slotPairOrder (m := m) ℓ …Mentions: OAI.KaplanskyCounterexample.Prescription.slotPairOrder
- lemma
OAI.KaplanskyCounterexample.Prescription.slotAssignment_first_pairsline 47 - def
OAI.KaplanskyCounterexample.Prescription.assignedSlotline 66 - def
OAI.KaplanskyCounterexample.Prescription.assignedFormline 69 - lemma
OAI.KaplanskyCounterexample.Prescription.assignedForm_distinctline 73