English
The left-quotient data for the transversal recovers the transferFunction value via a canonical equivalence.
Русский
Данные левой квотентной эквивалентности трансверсали восстанавливают transferFunction через каноническое эквивалентное отображение.
LaTeX
$$$\uparrow\bigl((\mathrm{transferTransversal}(H,g)).2.leftQuotientEquiv q\bigr) = \mathrm{transferFunction}(H,g,q)$$$
Lean4
/-- The transfer transversal. Contains elements of the form `g ^ k • g₀` for fixed choices
of representatives `g₀` of fixed choices of representatives `q₀` of `⟨g⟩`-orbits in `G ⧸ H`. -/
def transferTransversal : H.LeftTransversal :=
⟨transferSet H g, isComplement_range_left (coe_transferFunction g)⟩