OAI/Probability/SLE/Loewner/StoppedInverseTestUniqueness.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

The original increment and the transported fresh mass have identical positive compact tests simultaneously at every finite future time.

  1. lemma OAI.SLEExactGauge.Multipoint.CanonicalMass.stoppedFreshMass_test_indistinguishable line 37
  2. theorem OAI.SLEExactGauge.Multipoint.CanonicalMass.stoppedFreshMass_indistinguishable line 118

    Source documentation

    Equality of the actual measure increments on one event for every finite future time, with the unmodified raw fresh functional.

    theorem CanonicalMass.stoppedFreshMass_indistinguishable
        (hpaths : ∀ᵐ ω ∂P, PositiveMassPaths
          (fun t => stoppedFreshMass B κ γ G F hw τ hc R t ω)
          (stoppedFreshTerminalMass B κ γ G F hw τ hc R ω)) :
        ∀ᵐ ω ∂P, ∀ t,
          C.process (τ ω+t) ω-C.process (τ ω) ω =
            stoppedFreshMass B κ γ G F hw τ hc R t ω := by
    …

    Mentions: OAI.SLEExactGauge.PositiveMassPaths, OAI.SLEExactGauge.Multipoint.stoppedFreshMass, OAI.SLEExactGauge.Multipoint.stoppedFreshTerminalMass