Theorems · Theorem · general topology
continuous_le_rng
∀ {α : Type u} {β : Type v} {f : α → β} {t₁ : TopologicalSpace α} {t₂ t₃ : TopologicalSpace β},
t₂ ≤ t₃ → Continuous f → Continuous f- Defined in
- Mathlib.Topology.Order
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
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 and proof · cited by 2,592
- le_transproof · cited by 985
- continuous_iff_coinduced_leproof · cited by 13
Cited by3
Results whose statement or proof uses this declaration.
- TopologicalSpace.generatedBy_monoproof · cited by 2
- continuous_sup_rng_leftproof · cited by 0
- continuous_sup_rng_rightproof · cited by 0