Theorems · Theorem · general topology
WithZeroTopology.Iio_mem_nhds
∀ {Γ₀ : Type u_2} [inst : LinearOrderedCommGroupWithZero Γ₀] {γ₁ γ₂ : Γ₀}, γ₁ < γ₂ → Set.Iio γ₂ ∈ nhds γ₁- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Filterstatement · cited by 8,121
- nhdsstatement · cited by 5,554
- LT.lt.ne'proof · cited by 1,417
- Set.Iiostatement and proof · cited by 1,166
- eq_or_neproof · cited by 1,117
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- WithZeroTopology.topologicalSpacestatement · cited by 27
- WithZeroTopology.nhds_of_ne_zeroproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- WithZeroTopology.orderClosedTopologyproof · cited by 0