Theorems · Theorem · order theory
Finset.uIcc_subset_uIcc_right
∀ {α : Type u_2} [inst : Lattice α] [inst_1 : LocallyFiniteOrder α] {a b x : α},
x ∈ Finset.uIcc a b → Finset.uIcc x b ⊆ Finset.uIcc a b- Defined in
- Mathlib.Order.Interval.Finset.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 59 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.
- Finsetstatement · cited by 13,712
- Latticestatement and proof · cited by 916
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.uIccstatement and proof · cited by 84
- Finset.uIcc_subset_uIccproof · cited by 3
- Finset.right_mem_uIccproof · cited by 2
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