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Theorems · Theorem · general topology

Dilation.comp_apply

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β]
  [inst_2 : PseudoEMetricSpace γ] (g : β →ᵈ γ) (f : α →ᵈ β) (x : α), (g.comp f) x = g (f x)
Defined in
Mathlib.Topology.MetricSpace.Dilation
Cited by
1 results in Mathlib
Foundations
Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpacePseudoEMetricSpacePseudoEMetricSpace
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Around this declaration

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

Dilation.cancel_left · cited by 0Dilation.cancel_leftDFunLike.coe · cited by 62936DFunLike.coePseudoEMetricSpace · cited by 1536PseudoEMetricSpaceDilation · cited by 44DilationDilation.comp · cited by 10Dilation.compDilation.comp_applyCITED BYCITES

Cites4

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Cited by1

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