Theorems · Theorem · general topology
LocallyConstant.range_finite
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [CompactSpace X] (f : LocallyConstant X Y),
(Set.range ⇑f).Finite- Defined in
- Mathlib.Topology.LocallyConstant.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceCompactSpace
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Set.rangestatement · cited by 4,705
- Set.Finitestatement · cited by 1,814
- CompactSpacestatement and proof · cited by 593
- LocallyConstantstatement and proof · cited by 227
- LocallyConstant.isLocallyConstantproof · cited by 7
- IsLocallyConstant.range_finiteproof · cited by 1
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