OAI/RingTheory/DirectFiniteness/VertexMerging.lean
9 declarations, 0 contain sorry, 0 declared as axioms
- lemma
OAI.KaplanskyCounterexample.Planar.Ribbon.mergeWhite_componentsline 16 - lemma
OAI.KaplanskyCounterexample.Planar.Ribbon.genusZero_mergeWhiteline 31 - def
OAI.KaplanskyCounterexample.Planar.Ribbon.mergeBlackline 46Source documentation
The color-reversed local surgery.
def Ribbon.mergeBlack (R : Ribbon α) (a : α) : Ribbon α where …
- lemma
OAI.KaplanskyCounterexample.Planar.Ribbon.mergeBlack_faceline 51 - lemma
OAI.KaplanskyCounterexample.Planar.Ribbon.mergeBlack_componentsline 57 - lemma
OAI.KaplanskyCounterexample.Planar.Ribbon.genusZero_mergeBlackline 73 - lemma
OAI.KaplanskyCounterexample.Planar.label_swapline 89 - def
OAI.KaplanskyCounterexample.Planar.WeakBalanced.mergeWhiteline 101 - def
OAI.KaplanskyCounterexample.Planar.WeakBalanced.mergeBlackline 114