Theorems · Theorem · order theory
Finset.Ioo_subset_Ioo_left
∀ {α : Type u_2} {a₁ a₂ b : α} [inst : Preorder α] [inst_1 : LocallyFiniteOrder α],
a₁ ≤ a₂ → Finset.Ioo a₂ b ⊆ Finset.Ioo a₁ b- Defined in
- Mathlib.Order.Interval.Finset.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PreorderLocallyFiniteOrder
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Cites6
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_rflproof · cited by 1,558
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Ioostatement · cited by 185
- Finset.Ioo_subset_Iooproof · cited by 2
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