Theorems · Theorem · general topology
SequentialSpace.iSup
∀ {X : Type u_4} {ι : Sort u_3} {t : ι → TopologicalSpace X}, (∀ (i : ι), SequentialSpace X) → SequentialSpace X- Defined in
- Mathlib.Topology.Sequences
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- nhdsproof · cited by 5,554
- Filter.Tendstoproof · cited by 3,814
- iSupstatement and proof · cited by 2,415
- Filter.atTopproof · cited by 2,405
- le_iSupproof · cited by 207
- Filter.Tendsto.mono_rightproof · cited by 53
- SequentialSpacestatement and proof · cited by 15
- IsSeqClosedproof · cited by 10
- IsSeqClosed.isClosedproof · cited by 9
- nhds_monoproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- SequentialSpace.supproof · cited by 0