pith. machine review for the scientific record. sign in
def definition def or abbrev

CondIndepGivenBlanket

show as:
view Lean formalization →

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

generate prose now

formal statement (Lean)

  57def CondIndepGivenBlanket
  58    (P : ProbabilityMeasure Ω)
  59    (π : BlanketProjection Ω Internal Blanket External) : Prop :=

proof body

Definition body.

  60  ∀ (i : Internal) (b : Blanket) (e : External),
  61    (P : Measure Ω) (atomSet π i b e) * (P : Measure Ω) (blanketSet π b) =
  62    (P : Measure Ω) (internalBlanketSet π i b) *
  63      (P : Measure Ω) (blanketExternalSet π b e)
  64
  65/-- Ledger-boundary sparsity on the measure surface: the measure has the
  66blanket factorization. In later work this can be derived from a concrete
  67recognition-field generator; here it is the exact hypothesis needed for
  68conditional independence. -/

used by (3)

From the project-wide theorem graph. These declarations reference this one in their body.

depends on (12)

Lean names referenced from this declaration's body.