Theorems · Theorem · general topology
UniformSpace.ofDist_aux
∀ (ε : ℝ), 0 < ε → ∃ δ > 0, ∀ x < δ, ∀ y < δ, x + y < ε
- Defined in
- Mathlib.Topology.MetricSpace.Pseudo.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- half_posproof · cited by 83
- add_halvesproof · cited by 78
- add_lt_addproof · cited by 35
Cited by2
Results whose statement or proof uses this declaration.
- Metric.uniformity_basis_distproof · cited by 25
- UniformSpace.ofDistproof · cited by 1