Theorems · Theorem · order theory
Set.Icc_bot_top
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : BoundedOrder α], Set.Icc ⊥ ⊤ = Set.univ- Defined in
- Mathlib.Order.Interval.Set.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- PreorderBoundedOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Top.topstatement · cited by 9,680
- Preorderstatement and proof · cited by 7,952
- Bot.botstatement · cited by 4,720
- Set.univstatement and proof · cited by 3,945
- Set.Iccstatement · cited by 1,702
- BoundedOrderstatement and proof · cited by 270
- Set.Ici_botproof · cited by 10
- Set.Icc_topproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- unitInterval.univ_eq_Iccproof · cited by 1
- Interval.coe_topproof · cited by 0
- NonemptyInterval.coe_topproof · cited by 0