iSup_split

∀ {α : Type u_1} {β : Type u_2} [inst : CompleteLattice α] (f : β → α) (p : β → Prop),
  ⨆ i, f i = (⨆ i, ⨆ (_ : p i), f i) ⊔ ⨆ i, ⨆ (_ : ¬p i), f i

Defined in: Mathlib.Order.CompleteLattice.Basic
Cited by: 6 results in Mathlib
Foundations: Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CompleteLattice

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