Theorems · Theorem · order theory
Finset.Ioo_subset_Iic_self
∀ {α : Type u_2} {a b : α} [inst : Preorder α] [inst_1 : LocallyFiniteOrderBot α] [inst_2 : LocallyFiniteOrder α],
Finset.Ioo a b ⊆ Finset.Iic b- Defined in
- Mathlib.Order.Interval.Finset.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- LE.le.transproof · cited by 3,151
- LocallyFiniteOrderstatement and proof · cited by 658
- LocallyFiniteOrderBotstatement and proof · cited by 286
- Finset.Iicstatement · cited by 280
- Finset.Ioostatement · cited by 185
- Finset.Ioc_subset_Iic_selfproof · cited by 12
- Finset.Ioo_subset_Ioc_selfproof · cited by 1
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