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Theorems · Theorem · general topology

isClopen_range_inr

∀ {X : Type u} {Y : Type v} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y], IsClopen (Set.range Sum.inr)
Defined in
Mathlib.Topology.Clopen
Cited by
1 results in Mathlib
Foundations
Depth 79 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.

Sum.isConnected_iff · cited by 1Sum.isConnected_iffTopologicalSpace · cited by 24529TopologicalSpaceSet.range · cited by 4705Set.rangeIsClopen · cited by 189IsClopenisOpen_range_inr · cited by 2isOpen_range_inrisClosed_range_inr · cited by 2isClosed_range_inrisClopen_range_inrCITED BYCITES

Cites5

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Cited by1

Results whose statement or proof uses this declaration.