Theorems · Theorem · general topology
coinduced_sSup
∀ {α : Type u_1} {β : Type u_2} {f : α → β} {s : Set (TopologicalSpace α)},
TopologicalSpace.coinduced f (sSup s) = sSup (TopologicalSpace.coinduced f '' s)- Defined in
- Mathlib.Topology.Order
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 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.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemproof · cited by 7,166
- Set.imagestatement and proof · cited by 5,609
- iSupproof · cited by 2,415
- SupSet.sSupstatement and proof · cited by 954
- TopologicalSpace.coinducedstatement and proof · cited by 56
- sSup_eq_iSup'proof · cited by 38
- sSup_image'proof · cited by 10
- coinduced_iSupproof · cited by 4
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