Theorems · Theorem · order theory
Set.left_mem_uIcc
∀ {α : Type u_1} [inst : Lattice α] {a b : α}, a ∈ Set.uIcc a b- Cited by
- 17 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- Lattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Latticestatement and proof · cited by 916
- Set.uIccstatement · cited by 393
- inf_le_leftproof · cited by 286
- le_sup_leftproof · cited by 265
Cited by17
Results whose statement or proof uses this declaration.
- Set.OrdConnected.isPreconnectedproof · cited by 9
- integral_invproof · cited by 5
- intervalIntegral.integral_deriv_smul_comp'''proof · cited by 4
- MonotoneOn.mapsTo_uIccproof · cited by 2
- Set.compl_ordConnectedSection_ordSeparatingSet_mem_nhdsGEproof · cited by 2
- AntitoneOn.mapsTo_uIccproof · cited by 2
- intervalIntegral.continuousOn_primitive_intervalproof · cited by 2
- Path.range_subpathAuxproof · cited by 1
- Set.uIcc_injective_rightproof · cited by 1
- intervalIntegral.integrable_deriv_smul_comp_iff_of_deriv_nonnegproof · cited by 1
- intervalIntegral.integrable_deriv_smul_comp_iff_of_deriv_nonposproof · cited by 1
- Set.uIcc_subset_uIcc_leftproof · cited by 1