iSup_le

∀ {α : Type u_1} {ι : Sort u_4} [inst : CompleteLattice α] {f : ι → α} {a : α}, (∀ (i : ι), f i ≤ a) → iSup f ≤ a

Defined in: Mathlib.Order.CompleteLattice.Basic
Cited by: 190 results in Mathlib
Foundations: Depth 10 from the axioms, rests on 45 definitions · uses no axioms
Assumes: CompleteLattice

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