Theorems · Theorem · general topology
Topology.IsQuotientMap.sequentialSpace
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [SequentialSpace X]
{f : X → Y}, Topology.IsQuotientMap f → SequentialSpace Y- Defined in
- Mathlib.Topology.Sequences
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
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
- Topology.IsQuotientMapstatement and proof · cited by 124
- Topology.IsQuotientMap.isCoinducingproof · cited by 35
- SequentialSpacestatement and proof · cited by 15
- Topology.IsCoinducing.eq_coinducedproof · cited by 9
- SequentialSpace.coinducedproof · cited by 1
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