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Theorems · Theorem · general topology

continuousOn_fst

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {s : Set (α × β)},
  ContinuousOn Prod.fst s
Defined in
Mathlib.Topology.ContinuousOn
Cited by
5 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
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Around this declaration

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

Complex.continuousOn_prod_circle_transform_function · cited by 1Complex.continuousOn_prod…IsClosed.epigraph · cited by 1IsClosed.epigraphIsCoveringMapOn.isLocalHomeomorphOn · cited by 1IsCoveringMapOn.isLocalHo…continuousOn_div · cited by 0continuousOn_divIsClosed.hypograph · cited by 0IsClosed.hypographSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceContinuousOn · cited by 1411ContinuousOnContinuous.continuousOn · cited by 311Continuous.continuousOncontinuous_fst · cited by 103continuous_fstcontinuousOn_fstCITED BYCITES

Cites5

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Cited by5

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