Theorems · Theorem · order theory
Finset.left_mem_uIcc
∀ {α : Type u_2} [inst : Lattice α] [inst_1 : LocallyFiniteOrder α] {a b : α}, a ∈ Finset.uIcc a b- Defined in
- Mathlib.Order.Interval.Finset.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LatticeLocallyFiniteOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- inf_le_leftproof · cited by 286
- le_sup_leftproof · cited by 265
- Finset.uIccstatement · cited by 84
- Finset.mem_Iccproof · cited by 39
Cited by3
Results whose statement or proof uses this declaration.
- Finset.uIcc_injective_rightproof · cited by 1
- Finset.uIcc_subset_uIcc_iff_memproof · cited by 0
- Finset.uIcc_subset_uIcc_leftproof · cited by 0