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Theorems · Theorem · general topology

Homeomorph.induced_eq

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (h : X ≃ₜ Y),
  TopologicalSpace.induced (⇑h) inst_1 = inst
Defined in
Mathlib.Topology.Homeomorph.Defs
Cited by
2 results in Mathlib
Foundations
Depth 71 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.induced_of_isLimit · cited by 3TopCat.induced_of_isLimitLinearMap.IsWeak.congr · cited by 0IsWeak.congrDFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpaceHomeomorph · cited by 725HomeomorphTopologicalSpace.induced · cited by 148TopologicalSpace.inducedHomeomorph.isInducing · cited by 33Homeomorph.isInducingTopology.IsInducing.eq_induced · cited by 31IsInducing.eq_inducedHomeomorph.induced_eqCITED BYCITES

Cites6

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Cited by2

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