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theorem proved term proof

evidence_pos

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formal statement (Lean)

  25theorem evidence_pos (prior : ProbDist ι) (L : Likelihood ι Obs) (o : Obs) :
  26    0 < evidence prior L o := by

proof body

Term-mode proof.

  27  unfold evidence
  28  apply Finset.sum_pos
  29  · intro i _
  30    exact mul_pos (prior.prob_pos i) (L.like_pos o i)
  31  · exact Finset.univ_nonempty
  32

used by (2)

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depends on (7)

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