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Theorems · Theorem · general topology

BoundedContinuousFunction.lipschitz_eval_const

∀ {α : Type u} {β : Type v} [inst : TopologicalSpace α] [inst_1 : PseudoMetricSpace β] (x : α),
  LipschitzWith 1 fun f => f x
Defined in
Mathlib.Topology.ContinuousMap.Bounded.Basic
Cited by
1 results in Mathlib
Foundations
Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpacePseudoMetricSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

BoundedContinuousFunction.uniformContinuous_coe · cited by 1BoundedContinuousFunction…DFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpaceNNReal · cited by 4310NNRealPseudoMetricSpace · cited by 1550PseudoMetricSpaceBoundedContinuousFunction · cited by 511BoundedContinuousFunctionLipschitzWith · cited by 316LipschitzWithBoundedContinuousFunction.dist_coe_le_dist · cited by 18BoundedContinuousFunction…LipschitzWith.mk_one · cited by 6LipschitzWith.mk_oneBoundedContinuousFunction.lip…CITED BYCITES

Cites8

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Cited by1

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