Mathlib Map

Theorems · Theorem · order theory

Set.nonempty_uIcc

∀ {α : Type u_1} [inst : Lattice α] {a b : α}, (Set.uIcc a b).Nonempty
Defined in
Mathlib.Order.Interval.Set.UnorderedInterval
Cited by
2 results in Mathlib
Foundations
Depth 9 from the axioms · uses propext
Assumes
Lattice
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

ContinuousOn.image_uIcc · cited by 2ContinuousOn.image_uIccComplex.norm_circleTransformBoundingFunction_le · cited by 1Complex.norm_circleTransf…Set.Nonempty · cited by 2627Set.NonemptyLattice · cited by 916LatticeSet.uIcc · cited by 393Set.uIccSet.nonempty_Icc · cited by 21Set.nonempty_Iccinf_le_sup · cited by 14inf_le_supSet.nonempty_uIccCITED BYCITES

Cites5

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

Cited by2

Results whose statement or proof uses this declaration.