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Theorems · Theorem · order theory

cbiSup_empty

∀ {α : Type u_1} {β : Type u_2} [inst : ConditionallyCompletePartialOrderSup α] {f : β → α}, ⨆ i ∈ ∅, f i = sSup ∅
Defined in
Mathlib.Order.ConditionallyCompletePartialOrder.Indexed
Cited by
1 results in Mathlib
Foundations
Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
ConditionallyCompletePartialOrderSup

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