Theorems · Theorem · order theory
isCoatom_iff_eq_bot
∀ {α : Type u_2} [inst : PartialOrder α] [inst_1 : BoundedOrder α] [IsSimpleOrder α] {a : α}, IsCoatom a ↔ a = ⊥- Defined in
- Mathlib.Order.Atoms
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses Quot.sound
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- Bot.botstatement and proof · cited by 4,720
- BoundedOrderstatement and proof · cited by 270
- IsCoatomstatement and proof · cited by 114
- IsSimpleOrderstatement and proof · cited by 54
- IsSimpleOrder.eq_bot_or_eq_topproof · cited by 32
- isCoatom_botproof · cited by 2
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