Theorems · Theorem · general topology
WithZeroTopology.isOpen_Iio
∀ {Γ₀ : Type u_2} [inst : LinearOrderedCommGroupWithZero Γ₀] {a : Γ₀}, IsOpen (Set.Iio a)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 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.
- IsOpenstatement · cited by 2,400
- Set.Iiostatement and proof · cited by 1,166
- ne_of_gtproof · cited by 637
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- Set.Subset.rflproof · cited by 255
- WithZeroTopology.topologicalSpacestatement · cited by 27
- imp_iff_not_orproof · cited by 12
- WithZeroTopology.isOpen_iffproof · cited by 1
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