Explain the Lean theorem `magnitude_indist_3_neg3` in module `IndisputableMonolith.RecogGeom.Examples`. Write for an educated reader who knows science and programming but may not know Lean. Cover: (1) what the declaration says in plain English, (2) why it matters in Recognition Science, (3) how to read the formal statement, (4) visible dependencies or certificates in the supplied source, and (5) what this declaration does not prove. Cite only declarations present in the supplied Recognition source.

The declaration magnitude_indist_3_neg3 states that 3 and -3 are indistinguishable under the magnitude recognizer.

(1) In plain English: the magnitude recognizer maps every integer n to its absolute value |n|; therefore any two integers with identical magnitude (such as 3 and -3) are treated as equivalent.

(2) It matters in Recognition Science because the supplied module uses this concrete instance to illustrate that recognizers can abstract away sign while preserving magnitude, modeling measurements insensitive to polarity.

(3) The formal statement is theorem magnitude_indist_3_neg3 : Indistinguishable magnitudeRecognizer 3 (-3) := by simp [Indistinguishable, magnitudeRecognizer]. It asserts the predicate Indistinguishable holds for these two configurations; the proof simply unfolds the definitions.

(4) Visible dependencies in the supplied source are the definition of magnitudeRecognizer (R := fun n => n.natAbs) and the general theorem magnitude_indistinguishable (which states Indistinguishable magnitudeRecognizer n m ↔ n.natAbs = m.natAbs for arbitrary n, m). The simp tactic resolves the specific case directly from these.

(5) This declaration does not prove the general magnitude theorem, does not address sign recognizers or composition, and does not derive any physical constants or forcing-chain results.