Theorems · Theorem · general topology
continuous_sup_dom
∀ {α : Type u} {β : Type v} {f : α → β} {t₁ t₂ : TopologicalSpace α} {t₃ : TopologicalSpace β},
Continuous f ↔ Continuous f ∧ Continuous f- Defined in
- Mathlib.Topology.Order
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- TopologicalSpace.inducedproof · cited by 148
Cited by1
Results whose statement or proof uses this declaration.
- continuous_sum_domproof · cited by 3