Theorems · Theorem · general topology
continuous_id_iff_le
∀ {α : Type u} {t t' : TopologicalSpace α}, Continuous id ↔ t ≤ t'- Defined in
- Mathlib.Topology.Order
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, 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
- continuous_defproof · cited by 21
Cited by4
Results whose statement or proof uses this declaration.
- continuous_id_of_leproof · cited by 4
- uCompactlyGeneratedSpace_of_continuous_mapsproof · cited by 3
- WithSeminorms.congrproof · cited by 3
- IsModuleTopology.of_continuous_idproof · cited by 0