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Theorems · Theorem · general topology

Semicontinuous.const

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] {f : β → Prop}, Semicontinuous fun _x => f
Defined in
Mathlib.Topology.Semicontinuity.Defs
Cited by
5 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

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

lowerSemicontinuous_const · cited by 1lowerSemicontinuous_constupperSemicontinuous_const · cited by 0upperSemicontinuous_constLowerHemicontinuous.const · cited by 0LowerHemicontinuous.constUpperHemicontinuous.const · cited by 0UpperHemicontinuous.constHasOpenLowerSections.const · cited by 0HasOpenLowerSections.constTopologicalSpace · cited by 24529TopologicalSpaceSemicontinuous · cited by 12SemicontinuousSemicontinuousAt.const · cited by 5SemicontinuousAt.constSemicontinuous.constCITED BYCITES

Cites3

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

Cited by5

Results whose statement or proof uses this declaration.