English
The transfinite compositions built from pushouts and coproducts are controlled by the left-right lifting property bounds: they fit below rl p ll p bound.
Русский
Трансфинитные композиции, построенные из pushouts и coproducts, управляются пределами подъёма слева и справа: они не превосходят rl p ll p.
LaTeX
$$$$ \text{transfiniteCompositionsPushoutsCoproducts} \le W.rlp.llp $$$$
Lean4
theorem transfiniteCompositions_pushouts_coproducts_le_llp_rlp :
(transfiniteCompositions.{w} (coproducts.{w} W).pushouts) ≤ W.rlp.llp := by
simpa using transfiniteCompositions_le_llp_rlp (coproducts.{w} W).pushouts
