Theorems · Theorem · order theory
Set.uIoo_of_lt
∀ {α : Type u_1} [inst : LinearOrder α] {a b : α}, a < b → Set.uIoo a b = Set.Ioo a b- Cited by
- 4 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- LinearOrderstatement and proof · cited by 8,572
- LT.lt.leproof · cited by 2,189
- Set.Ioostatement · cited by 1,214
- Set.uIoostatement · cited by 68
- Set.uIoo_of_leproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- ProbabilityTheory.exists_cgf_eq_iteratedDeriv_two_cgf_mulproof · cited by 1
- continuousOn_uIcc_extendFrom_uIooproof · cited by 1
- Set.uIoo_eq_unionproof · cited by 0
- Set.uIoo_of_not_geproof · cited by 0