recognition /
NumberTheory /
NumberTheory.UniversalCostSpectrum /
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formal statement (Lean)
86 theorem 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
91 variable [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‖)`. -/
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (16)
Lean names referenced from this declaration's body.
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primeJcost_pos
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value
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