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Theorems · Theorem · general topology

IsLocallyConstant.const

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] (y : Y), IsLocallyConstant (Function.const X y)
Defined in
Mathlib.Topology.LocallyConstant.Basic
Cited by
2 results in Mathlib
Foundations
Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

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

LocallyConstant.const · cited by 9LocallyConstant.constIsLocallyConstant.zero · cited by 0IsLocallyConstant.zeroIsLocallyConstant.one · cited by 0IsLocallyConstant.oneTopologicalSpace · cited by 24529TopologicalSpaceIsLocallyConstant · cited by 51IsLocallyConstantIsLocallyConstant.of_constant · cited by 2IsLocallyConstant.of_cons…IsLocallyConstant.constCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.