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Theorems · Theorem · general topology

Function.locallyFinsuppWithin.restrict_negPart

∀ {X : Type u_1} [inst : TopologicalSpace X] {U V : Set X} (D : Function.locallyFinsuppWithin U ℤ) (h : V ⊆ U),
  D⁻.restrict h = (D.restrict h)⁻

Restriction commutes with taking negative parts.

Defined in
Mathlib.Topology.LocallyFinsupp
Cited by
0 results in Mathlib
Foundations
Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

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DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceneg_zero · cited by 542neg_zeroFunction.locallyFinsuppWithin · cited by 127Function.locallyFinsuppWi…NegPart.negPart · cited by 107NegPart.negPartFunction.locallyFinsuppWithin.ext · cited by 24locallyFinsuppWithin.extFunction.locallyFinsuppWithin.restrict · cited by 12locallyFinsuppWithin.rest…negPart_of_nonpos · cited by 11negPart_of_nonposlocallyFinsuppWithin.restrict…CITED BYCITES

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