theorem
proved
term proof
kernel_perturbation_at_IR_floor
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formal statement (Lean)
274theorem kernel_perturbation_at_IR_floor
275 (P : KernelParams) {k_min k : ℝ} (a : ℝ) (h : k ≤ k_min) :
276 kernel_perturbation P k_min k a = kernel P k_min a := by
proof body
Term-mode proof.
277 unfold kernel_perturbation kernel
278 have hmax : max k_min k = k_min := max_eq_left h
279 rw [hmax]
280
281/-- The perturbation kernel is positive. -/