Theorems · Theorem · order theory
Set.uIoo_of_le
∀ {α : Type u_1} [inst : LinearOrder α] {a b : α}, a ≤ b → Set.uIoo a b = Set.Ioo a b- Cited by
- 5 results in Mathlib
- Foundations
- Depth 19 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 and proof · cited by 53,352
- LinearOrderstatement and proof · cited by 8,572
- Set.Ioostatement and proof · cited by 1,214
- Set.uIoostatement · cited by 68
- sup_eq_rightproof · cited by 53
- inf_eq_leftproof · cited by 41
Cited by5
Results whose statement or proof uses this declaration.
- Set.uIoo_of_ltproof · cited by 4
- continuousOn_uIcc_extendFrom_uIooproof · cited by 1
- intervalIntegral.integral_congr_Ioo_of_leproof · cited by 1
- MonotoneOn.intervalIntegral_deriv_mem_uIccproof · cited by 0
- intervalIntegral.integral_deriv_eq_sub_uIooproof · cited by 0