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Theorems · Theorem · general topology

BoundedContinuousFunction.coe_domRestrict

∀ {α : Type u} {β : Type v} [inst : TopologicalSpace α] [inst_1 : PseudoMetricSpace β]
  (f : BoundedContinuousFunction α β) (s : Set α), ⇑(f.domRestrict s) = ⇑f ∘ Subtype.val
Defined in
Mathlib.Topology.ContinuousMap.Bounded.Basic
Cited by
1 results in Mathlib
Foundations
Depth 100 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.coe_restrict · cited by 0BoundedContinuousFunction…DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceSet.Elem · cited by 7166Set.ElemPseudoMetricSpace · cited by 1550PseudoMetricSpaceBoundedContinuousFunction · cited by 511BoundedContinuousFunctionBoundedContinuousFunction.domRestrict · cited by 12BoundedContinuousFunction…BoundedContinuousFunction.coe…CITED BYCITES

Cites7

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Cited by1

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