Theorems · Theorem · order theory
IsBot.not_isTop
∀ {α : Type u_1} [inst : PartialOrder α] {a : α} [Nontrivial α], IsBot a → ¬IsTop a- Defined in
- Mathlib.Order.Max
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderNontrivial
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Nontrivialstatement and proof · cited by 2,416
- IsTopstatement · cited by 77
- IsBotstatement and proof · cited by 77
- IsTop.isMaxproof · cited by 7
- IsBot.not_isMaxproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
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