Theorems · Theorem · order theory
OrderDual.toDual_bot
∀ (α : Type u) [inst : Bot α], OrderDual.toDual ⊥ = ⊤
- Defined in
- Mathlib.Order.BoundedOrder.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses Quot.sound
- Assumes
- Bot
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.
- DFunLike.coestatement · cited by 62,936
- Top.topstatement · cited by 9,680
- Equivstatement · cited by 8,337
- Bot.botstatement · cited by 4,720
- OrderDualstatement · cited by 927
- OrderDual.toDualstatement · cited by 481
- Botstatement and proof · cited by 96
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.