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Theorems · Theorem · general topology

Homeomorph.indiscreteTopology

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [IndiscreteTopology X]
  (h : X ≃ₜ Y), IndiscreteTopology Y
Defined in
Mathlib.Topology.Homeomorph.Defs
Cited by
1 results in Mathlib
Foundations
Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceIndiscreteTopology
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Homeomorph.indiscreteTopology_iff · cited by 0Homeomorph.indiscreteTopo…TopologicalSpace · cited by 24529TopologicalSpaceHomeomorph · cited by 725HomeomorphHomeomorph.symm · cited by 365Homeomorph.symmIndiscreteTopology · cited by 43IndiscreteTopologyHomeomorph.isInducing · cited by 33Homeomorph.isInducingTopology.IsInducing.indiscreteTopology · cited by 2IsInducing.indiscreteTopo…Homeomorph.indiscreteTopologyCITED BYCITES

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