recognition › ask › explain-the-lean-theorem-mock-orders-sum-relation-in-module-b732410d

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.

permalink: https://pith.science/recognition/ask/explain-the-lean-theorem-mock-orders-sum-relation-in-module-b732410d · first asked 2026-05-10 · browse all asks

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 related results such as mock_orders_are_3_5_7, mock_orders_complete, IsMockOrder_iff, overlap_is_exactly_5_7, congruence_primes_are_three_smallest, congruence_offsets_are_flux_inverses, and mock_and_congruence_unified_by_Q3, but the requested theorem is absent from the provided text.

outside recognition

Aspects Recognition does not yet address:

mock_orders_sum_relation in IndisputableMonolith.Mathematics.RamanujanBridge.CongruenceQ3Bridge

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.