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theorem proved term proof

primeJcost_nonneg

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formal statement (Lean)

  86theorem primeJcost_nonneg (p : P) : 0 ≤ primeJcost p :=

proof body

Term-mode proof.

  87  le_of_lt (primeJcost_pos p)
  88
  89/-! ## The universal cost spectrum value -/
  90
  91variable [DecidableEq P]
  92
  93/-- The universal cost spectrum value on `f : P →₀ ℕ`.
  94
  95    Interpreting `f` as the multiplicity vector of an element of the
  96    multiplicative monoid generated by `P`, this is the cost-weighted
  97    sum `Σ_p f(p) · J(‖p‖)`. -/

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