English
The forward F-component of the transfinite composition equals the iteration functor: (transfiniteCompositionOfShapeSuccStructPropιIteration I κ).F = iterationFunctor I κ.
Русский
Передняя компонента F трансфинитной композиции равна функтору итерации: (трансфинитная композиция...).F = iterationFunctor I κ.
LaTeX
$$$\\bigl(\\text{transfiniteCompositionOfShapeSuccStructPropιIteration}(I,\\kappa)\\bigr).\\mathcal{F} = \\text{iterationFunctor}(I,\\kappa)$$$
Lean4
@[simp]
theorem transfiniteCompositionOfShapeSuccStructPropιIteration_F :
(transfiniteCompositionOfShapeSuccStructPropιIteration I κ).F = iterationFunctor I κ :=
rfl