bsup — Mathlib

English

bsup o f is the supremum of the family indexed by ordinals a < o.

Русский

bsup o f есть супремум семьи индексации ordinals a < o.

LaTeX

$$$$ \\operatorname{bsup}(o,f) = \\mathrm{iSup}( \\mathrm{bfamilyOfFamily'}(o,f) ) $$$$

Lean4

/-- The supremum of a family of ordinals indexed by the set of ordinals less than some
`o : Ordinal.{u}`. This is a special case of `iSup` over the family provided by
`familyOfBFamily`. -/
def bsup (o : Ordinal.{u}) (f : ∀ a < o, Ordinal.{max u v}) : Ordinal.{max u v} :=
  iSup (familyOfBFamily o f)

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