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Theorems · Theorem · general topology

Homeomorph.coinduced_eq

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (h : X ≃ₜ Y),
  TopologicalSpace.coinduced (⇑h) inst = inst_1
Defined in
Mathlib.Topology.Homeomorph.Defs
Cited by
1 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
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Around this declaration

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

TopCat.coinduced_of_isColimit · cited by 3TopCat.coinduced_of_isCol…DFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpaceHomeomorph · cited by 725HomeomorphTopologicalSpace.coinduced · cited by 56TopologicalSpace.coinducedTopology.IsQuotientMap.isCoinducing · cited by 35IsQuotientMap.isCoinducingHomeomorph.isQuotientMap · cited by 22Homeomorph.isQuotientMapTopology.IsCoinducing.eq_coinduced · cited by 9IsCoinducing.eq_coinducedHomeomorph.coinduced_eqCITED BYCITES

Cites7

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Cited by1

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