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Explain the Lean theorem `mock_orders_sum_relation` in module `IndisputableMonolith.Mathematics.RamanujanBridge.CongruenceQ3Bridge`. 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.

Big AI job. Grok 4.3 reads the canon and writes a Lean-grounded derivation; usually 20 seconds to 2 minutes. Your answer will appear below.
confidence: low outside recognition cached

The supplied Lean source for module IndisputableMonolith.Mathematics.RamanujanBridge.CongruenceQ3Bridge does not contain any declaration named mock_orders_sum_relation. The module defines IsMockOrder (primes coprime to 8 and less than 8) and proves theorems such as mock_orders_are_3_5_7, mock_orders_complete, IsMockOrder_iff, overlap_is_exactly_5_7, and mock_and_congruence_unified_by_Q3 (which unifies mock orders {3,5,7} with congruence primes {5,7,11} via directed_flux_Q3 = 24). No sum-relation theorem appears. The question therefore cannot be answered from the given canon slice.

outside recognition

Aspects Recognition does not yet address:

  • mock_orders_sum_relation declaration

recognition modules consulted

The Recognition library is at github.com/jonwashburn/shape-of-logic. The model is restricted to the supplied Lean source and instructed not to invent theorem names. Treat output as a starting point, not a verified proof.