Theorems · Theorem · order theory
IsSimpleOrder.lt_top_iff_eq_bot
∀ {α : Type u_2} [inst : PartialOrder α] [inst_1 : BoundedOrder α] [IsSimpleOrder α] {a : α}, a < ⊤ ↔ a = ⊥- Defined in
- Mathlib.Order.Atoms
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- PartialOrderstatement and proof · cited by 6,410
- Bot.botstatement and proof · cited by 4,720
- BoundedOrderstatement and proof · cited by 270
- IsSimpleOrderstatement and proof · cited by 54
- bot_lt_topproof · cited by 7
- IsSimpleOrder.eq_bot_of_ltproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.