Theorems · Theorem · order theory
Finset.nonempty_uIcc
∀ {α : Type u_2} [inst : Lattice α] [inst_1 : LocallyFiniteOrder α] {a b : α}, (Finset.uIcc a b).Nonempty- Defined in
- Mathlib.Order.Interval.Finset.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LatticeLocallyFiniteOrder
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finset.Nonemptystatement · cited by 1,001
- Latticestatement and proof · cited by 916
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.uIccstatement · cited by 84
- inf_le_supproof · cited by 14
- Finset.nonempty_Iccproof · cited by 3
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