Theorems · Theorem · order theory
Filter.Subsingleton.atBot_eq
∀ (α : Type u_6) [Subsingleton α] [inst : Preorder α], Filter.atBot = ⊤
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- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SubsingletonPreorder
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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 · cited by 9,680
- Filterstatement · cited by 8,121
- Preorderstatement and proof · cited by 7,952
- OrderDualproof · cited by 927
- Filter.atBotstatement · cited by 512
- Filter.Subsingleton.atTop_eqproof · cited by 3
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