Theorems · Theorem · general topology
LipschitzOnWith.cauchySeq_comp
∀ {α : Type u_1} {β : Type u_2} [inst : PseudoMetricSpace α] [inst_1 : PseudoMetricSpace β] {K : NNReal} {s : Set α}
{f : α → β}, LipschitzOnWith K f s → ∀ {u : ℕ → α}, CauchySeq u → Set.range u ⊆ s → CauchySeq (f ∘ u)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites21
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
- Realproof · cited by 25,697
- nhdsproof · cited by 5,554
- Set.rangestatement and proof · cited by 4,705
- NNRealstatement and proof · cited by 4,310
- Filter.Tendstoproof · cited by 3,814
- LE.le.transproof · cited by 3,151
- Filter.atTopproof · cited by 2,405
- MulZeroClass.mul_zeroproof · cited by 2,091
- PseudoMetricSpacestatement and proof · cited by 1,550
- Dist.distproof · cited by 1,539
- NNReal.toRealproof · cited by 1,260
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