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Theorems · Theorem · general topology

coinduced_iSup

∀ {α : Type u_1} {β : Type u_2} {f : α → β} {ι : Sort w} {t : ι → TopologicalSpace α},
  TopologicalSpace.coinduced f (⨆ i, t i) = ⨆ i, TopologicalSpace.coinduced f (t i)
Defined in
Mathlib.Topology.Order
Cited by
4 results in Mathlib
Foundations
Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

RestrictedProduct.continuous_inclusion · cited by 8RestrictedProduct.continu…TopCat.coinduced_of_isColimit · cited by 3TopCat.coinduced_of_isCol…TopologicalSpace.generatedBy_eq_coinduced · cited by 1TopologicalSpace.generate…coinduced_sSup · cited by 0coinduced_sSupTopologicalSpace · cited by 24529TopologicalSpaceiSup · cited by 2415iSupGaloisConnection.l_iSup · cited by 78GaloisConnection.l_iSupTopologicalSpace.coinduced · cited by 56TopologicalSpace.coinducedgc_coinduced_induced · cited by 9gc_coinduced_inducedcoinduced_iSupCITED BYCITES

Cites5

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Cited by4

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