Theorems · Theorem · general topology
IsSpectralMap.continuous
∀ {α : Type u_2} {β : Type u_3} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {f : α → β},
IsSpectralMap f → Continuous f- Defined in
- Mathlib.Topology.Spectral.Hom
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Continuousstatement · cited by 2,592
- IsSpectralMapstatement and proof · cited by 20
- IsSpectralMap.toContinuousproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IsSpectralMap.compproof · cited by 0