Theorems · Theorem · order theory
eq_top_of_bot_eq_top
∀ {α : Type u} [inst : PartialOrder α] [inst_1 : BoundedOrder α], ⊥ = ⊤ → ∀ (x : α), x = ⊤- Defined in
- Mathlib.Order.BoundedOrder.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- PartialOrderBoundedOrder
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- PartialOrderstatement and proof · cited by 6,410
- Bot.botstatement and proof · cited by 4,720
- bot_leproof · cited by 306
- BoundedOrderstatement and proof · cited by 270
- eq_top_monoproof · cited by 12
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