Theorems · Theorem · general topology
Real.uniformContinuous_mul
∀ (s : Set (ℝ × ℝ)) {r₁ r₂ : ℝ}, (∀ x ∈ s, |x.1| < r₁ ∧ |x.2| < r₂) → UniformContinuous fun p => (↑p).1 * (↑p).2- Defined in
- Mathlib.Topology.Instances.Real.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 152 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.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.Elemstatement and proof · cited by 7,166
- absstatement and proof · cited by 1,814
- Dist.distproof · cited by 1,539
- UniformContinuousstatement · cited by 410
- max_lt_iffproof · cited by 22
- Metric.uniformContinuous_iffproof · cited by 13
- rat_mul_continuous_lemmaproof · cited by 2
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