Theorems · Theorem · general topology
coinduced_nhdsAdjoint
∀ {α : Type u} {β : Type v} (f : α → β) (a : α) (l : Filter α),
TopologicalSpace.coinduced f (nhdsAdjoint a l) = nhdsAdjoint (f a) (Filter.map f l)- Defined in
- Mathlib.Topology.Order
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- Filterstatement and proof · cited by 8,121
- nhdsproof · cited by 5,554
- Filter.mapstatement and proof · cited by 819
- eq_of_forall_ge_iffproof · cited by 96
- TopologicalSpace.coinducedstatement and proof · cited by 56
- continuous_iff_coinduced_leproof · cited by 13
- nhdsAdjointstatement and proof · cited by 9
- gc_nhdsproof · cited by 8
- continuous_nhdsAdjoint_domproof · cited by 1
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