English
Mapping from W to transfiniteCompositions under Finite shapes yields a monotone embedding.
Русский
Отображение из W в transfiniteCompositions при форму Fin сохраняется монотонно.
LaTeX
$$$transfiniteCompositionsOfShape(J) W \\le transfiniteCompositions(W)$$$
Lean4
theorem transfiniteCompositionsOfShape_le_transfiniteCompositions (J : Type w) [LinearOrder J] [SuccOrder J]
[OrderBot J] [WellFoundedLT J] : W.transfiniteCompositionsOfShape J ≤ transfiniteCompositions.{w} W :=
by
intro A B f hf
rw [transfiniteCompositions_iff]
exact ⟨_, _, _, _, _, hf⟩
