The block odd list, order-exactly #
The odd list of a block of the flipped data colouring is the Definition 5 value map over the block-slot flag enumeration, entry by entry.
theorem
RS.oddListOf_blockRestrict_eq_map
{k ℓ : ℕ}
(W : ClosedFragment)
(F : EdgeSubset W)
{κ : F.TransitionSystem}
(o : κ.Orientation)
(ψ : F.EvenColouring k)
(φ : F.OddColouring ℓ)
(v : Fin (ds W).length)
:
oddListOf (blockRestrict (ds W) (cSorted W (colouringOfFlip W F o ψ φ)) v) = List.map (defFiveValue o φ) (blockOddFlagList W F v)
The block odd list is the value map of the block enumeration (order-exact).