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Theorems · Theorem · general topology

HasCompactSupport.neg

∀ {α : Type u_9} {β : Type u_10} [inst : TopologicalSpace α] [inst_1 : SubtractionMonoid β] {f : α → β},
  HasCompactSupport f → HasCompactSupport (-f)
Defined in
Mathlib.Topology.Algebra.Support
Cited by
2 results in Mathlib
Foundations
Depth 51 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpaceSubtractionMonoid
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Around this declaration

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

mem_compactlySupported · cited by 3mem_compactlySupportedHasCompactSupport.sub · cited by 0HasCompactSupport.subTopologicalSpace · cited by 24529TopologicalSpaceIsCompact · cited by 1282IsCompactclosure · cited by 1254closureSubtractionMonoid · cited by 208SubtractionMonoidHasCompactSupport · cited by 196HasCompactSupportFunction.support_neg · cited by 6Function.support_negHasCompactSupport.negCITED BYCITES

Cites6

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

Cited by2

Results whose statement or proof uses this declaration.