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Theorems · Theorem · order theory

Set.Ici_top

∀ {α : Type u_1} [inst : PartialOrder α] [inst_1 : OrderTop α], Set.Ici ⊤ = {⊤}
Defined in
Mathlib.Order.Interval.Set.Basic
Cited by
4 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Quot.sound
Assumes
PartialOrderOrderTop
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Filter.OrderTop.atTop_eq · cited by 4OrderTop.atTop_eqSummationFilter.conditional_filter_eq_map_Ici · cited by 0SummationFilter.condition…SummationFilter.eq_unconditional_of_finite · cited by 0SummationFilter.eq_uncond…OrderTop.upperBounds_univ · cited by 0OrderTop.upperBounds_univSet · cited by 53352SetTop.top · cited by 9680Top.topPartialOrder · cited by 6410PartialOrderSet.Ici · cited by 1070Set.IciOrderTop · cited by 493OrderTopisMax_top · cited by 12isMax_topIsMax.Ici_eq · cited by 3IsMax.Ici_eqSet.Ici_topCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.