Theorems · Theorem · general topology
Continuous.seqContinuous
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : X → Y},
Continuous f → SeqContinuous f- Defined in
- Mathlib.Topology.Sequences
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- nhdsproof · cited by 5,554
- Filter.Tendstoproof · cited by 3,814
- Continuousstatement and proof · cited by 2,592
- Filter.atTopproof · cited by 2,405
- Filter.Tendsto.compproof · cited by 560
- Continuous.tendstoproof · cited by 206
- SeqContinuousstatement · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- SequentialSpace.coinducedproof · cited by 1
- ProperCone.relative_hyperplane_separationproof · cited by 1
- continuous_iff_seqContinuousproof · cited by 1