iSup_ne_bot_subtype

∀ {α : Type u_1} {ι : Sort u_4} [inst : CompleteLattice α] (f : ι → α), ⨆ i, f ↑i = ⨆ i, f i

When taking the supremum of f : ι → α, the elements of ι on which f gives ⊥ can be dropped, without changing the result.

Defined in: Mathlib.Order.CompleteLattice.Basic
Cited by: 3 results in Mathlib
Foundations: Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CompleteLattice

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