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theorem proved term proof

ilg_spatial_kernel_one_statement

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formal statement (Lean)

 293theorem ilg_spatial_kernel_one_statement :
 294    -- (1) Closed form
 295    C_kernel = 2 - phi ∧
 296    -- (2) Positivity
 297    0 < C_kernel ∧
 298    -- (3) Half-rung budget identity
 299    Jphi_penalty + C_kernel = 1 / 2 ∧
 300    -- (4) Numerical band
 301    (0.380 : ℝ) < C_kernel ∧ C_kernel < (0.390 : ℝ) ∧
 302    -- (5) Three-channel factorization
 303    C_kernel = channel_weight * channel_weight ∧
 304    -- (6) Competing value violates budget
 305    Jphi_penalty + C_kernel_competing > 1 / 2 :=

proof body

Term-mode proof.

 306  ⟨C_kernel_eq_two_minus_phi, C_kernel_pos, half_rung_budget,
 307   C_kernel_band.1, C_kernel_band.2, three_channel_factorization,
 308   C_competing_violates_budget⟩
 309
 310end
 311
 312end ILGSpatialKernel
 313end Gravity
 314end IndisputableMonolith

depends on (19)

Lean names referenced from this declaration's body.