Theorems · Theorem · order theory
Set.Icc_subset_uIcc
∀ {α : Type u_1} [inst : Lattice α] {a b : α}, Set.Icc a b ⊆ Set.uIcc a b- Cited by
- 12 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- Lattice
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.
- Setstatement · cited by 53,352
- Set.Iccstatement · cited by 1,702
- Latticestatement and proof · cited by 916
- Set.uIccstatement · cited by 393
- inf_le_leftproof · cited by 286
- le_sup_rightproof · cited by 242
- Set.Icc_subset_Iccproof · cited by 27
Cited by12
Results whose statement or proof uses this declaration.
- intervalIntegral.integral_deriv_smul_comp'''proof · cited by 4
- Real.dist_le_of_mem_Iccproof · cited by 3
- Set.mem_uIcc_of_leproof · cited by 2
- MeasureTheory.IntegrableOn.intervalIntegrableproof · cited by 2
- Set.compl_ordConnectedSection_ordSeparatingSet_mem_nhdsGEproof · cited by 2
- Set.ordConnected_iff_uIcc_subsetproof · cited by 1
- Real.dist_le_of_mem_pi_Iccproof · cited by 1
- Complex.circleTransformDeriv_boundproof · cited by 0
- Set.disjoint_ordT5Nhdproof · cited by 0
- Set.bdd_below_bdd_above_iff_subset_uIccproof · cited by 0
- Set.monotone_or_antitone_iff_uIccproof · cited by 0
- circleIntegrable_sub_zpow_iffproof · cited by 0