pith. machine review for the scientific record. sign in
theorem proved term proof

mode_partition_eq

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)

 370theorem mode_partition_eq (P : KernelParams) (k_min k a ρ_bar δρ : ℝ) :
 371    mode_partition P k_min k a ρ_bar δρ
 372      = ρ_bar + δρ * kernel_perturbation P k_min k a := by

proof body

Term-mode proof.

 373  unfold mode_partition kernel_background; ring
 374
 375/-- **Background mode of the partition is unmodified.** When `δρ = 0`,
 376the effective source equals the background source — no ILG enhancement
 377on the homogeneous mode. -/

used by (1)

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

depends on (13)

Lean names referenced from this declaration's body.