Theorems · Theorem · general topology
HolderWith.of_le_of_le
∀ {X : Type u_1} {Y : Type u_2} [inst : PseudoEMetricSpace X] [inst_1 : PseudoEMetricSpace Y] {r : NNReal} {f : X → Y}
{C₁ C₂ s t : NNReal}, HolderWith C₁ r f → HolderWith C₂ s f → r ≤ t → t ≤ s → HolderWith (max C₁ C₂) t f- Defined in
- Mathlib.Topology.MetricSpace.Holder
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRealstatement and proof · cited by 4,310
- PseudoEMetricSpacestatement and proof · cited by 1,536
- HolderWithstatement and proof · cited by 47
- holderOnWith_univproof · cited by 8
- HolderOnWith.of_le_of_leproof · cited by 2
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