Theorems · Theorem · order theory
Finset.Iio_bot
∀ {α : Type u_2} [inst : Preorder α] [inst_1 : LocallyFiniteOrderBot α] [inst_2 : OrderBot α], Finset.Iio ⊥ = ∅- Defined in
- Mathlib.Order.Interval.Finset.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Preorderstatement and proof · cited by 7,952
- Bot.botstatement · cited by 4,720
- OrderBotstatement and proof · cited by 1,055
- LocallyFiniteOrderBotstatement and proof · cited by 286
- Finset.Iiostatement · cited by 147
- isMin_botproof · cited by 15
- Finset.Iio_eq_emptyproof · cited by 3
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