Theorems · Theorem · order theory
Set.Ici_sdiff_Ioi
∀ {α : Type u_1} [inst : LinearOrder α] {a b : α}, Set.Ici a \ Set.Ioi b = Set.Icc a b- Defined in
- Mathlib.Order.Interval.Set.LinearOrder
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.Iccstatement and proof · cited by 1,702
- Set.Ioistatement and proof · cited by 1,463
- Set.Icistatement and proof · cited by 1,070
- Set.sdiff_eqproof · cited by 59
- Set.Ici_inter_Iicproof · cited by 12
- Set.compl_Ioiproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Set.Ici_diff_Ioiproof · cited by 0