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Theorems · Theorem · general topology

preconnectedSpace_iff_univ

∀ {α : Type u} [inst : TopologicalSpace α], PreconnectedSpace α ↔ IsPreconnected Set.univ
Defined in
Mathlib.Topology.Connected.Basic
Cited by
2 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
TopologicalSpace
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Around this declaration

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

eq_of_germ_isConstant · cited by 1eq_of_germ_isConstantconnectedSpace_iff_clopen · cited by 0connectedSpace_iff_clopenTopologicalSpace · cited by 24529TopologicalSpaceSet.univ · cited by 3945Set.univIsPreconnected · cited by 205IsPreconnectedPreconnectedSpace · cited by 64PreconnectedSpacePreconnectedSpace.isPreconnected_univ · cited by 26PreconnectedSpace.isPreco…preconnectedSpace_iff_univCITED BYCITES

Cites5

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Cited by2

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