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Theorems · Definition · general topology

PContinuous

{X : Type u_1} → {Y : Type u_2} → [TopologicalSpace X] → [TopologicalSpace Y] → (X →. Y) → Prop

Continuity of a partial function

Defined in
Mathlib.Topology.Partial
Cited by
2 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
TopologicalSpaceTopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

pcontinuous_iff' · cited by 0pcontinuous_iff'open_dom_of_pcontinuous · cited by 0open_dom_of_pcontinuousSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceIsOpen · cited by 2400IsOpenPFun · cited by 207PFunPFun.preimage · cited by 18PFun.preimagePContinuousCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.