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Theorems · Definition · number theory

AbstractMeasure.dirac

{X : Type u_1} →
  (R : Type u_3) →
    [inst : TopologicalSpace X] →
      [inst_1 : CommRing R] → [inst_2 : TopologicalSpace R] → [inst_3 : IsTopologicalRing R] → X → AbstractMeasure X R R

The Dirac measure, "evaluation at x".

Defined in
Mathlib.NumberTheory.Padics.Measure.Basic
Cited by
4 results in Mathlib
Foundations
Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceCommRingTopologicalSpaceIsTopologicalRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

AbstractMeasure.dirac_apply · cited by 0AbstractMeasure.dirac_app…AbstractMeasure.map_dirac · cited by 0AbstractMeasure.map_diracAbstractMeasure.contractFst_dirac · cited by 0AbstractMeasure.contractF…AbstractMeasure.contractSnd_dirac · cited by 0AbstractMeasure.contractS…DFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpaceCommRing · cited by 17173CommRingLinearEquiv.symm · cited by 1461LinearEquiv.symmIsTopologicalRing · cited by 402IsTopologicalRingAbstractMeasure · cited by 20AbstractMeasureContinuousMap.evalCLM · cited by 4ContinuousMap.evalCLMAbstractMeasure.toCLMEquiv · cited by 2AbstractMeasure.toCLMEquivAbstractMeasure.diracCITED BYCITES

Cites8

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

Cited by4

Results whose statement or proof uses this declaration.