Theorems · Theorem · general topology
SequentialSpace.coinduced
∀ {X : Type u_1} [inst : TopologicalSpace X] [SequentialSpace X] {Y : Type u_3} (f : X → Y), SequentialSpace Y- Defined in
- Mathlib.Topology.Sequences
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- TopologicalSpace.coinducedstatement · cited by 56
- continuous_coinduced_rngproof · cited by 19
- SequentialSpacestatement and proof · cited by 15
- IsSeqClosedproof · cited by 10
- IsSeqClosed.isClosedproof · cited by 9
- isClosed_coinducedproof · cited by 5
- Continuous.seqContinuousproof · cited by 3
- IsSeqClosed.preimageproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Topology.IsQuotientMap.sequentialSpaceproof · cited by 0