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Theorems · Theorem · general topology

induced_top

∀ {α : Type u_1} {β : Type u_2} {g : β → α}, TopologicalSpace.induced g ⊤ = ⊤
Defined in
Mathlib.Topology.Order
Cited by
2 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.

Topology.IsInducing.indiscreteTopology · cited by 2IsInducing.indiscreteTopo…WithTopology.nontrivialTopology_iff · cited by 0WithTopology.nontrivialTo…TopologicalSpace · cited by 24529TopologicalSpaceTop.top · cited by 9680Top.topTopologicalSpace.induced · cited by 148TopologicalSpace.inducedGaloisConnection.u_top · cited by 31GaloisConnection.u_topgc_coinduced_induced · cited by 9gc_coinduced_inducedinduced_topCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.