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Explain the theorem baryogenesisMechanismCount from IndisputableMonolith.Cosmology.BaryogenesisFromJCost.

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: high in recognition cached

The theorem baryogenesisMechanismCount proves that Fintype.card BaryogenesisMechanism = 5. It follows directly from the inductive definition of BaryogenesisMechanism with exactly five constructors (leptogenesis, electroWeak, affleckDine, cold, GUT) and the Fintype instance, with the proof completed by decide. The module documentation states that these five mechanisms correspond to configDim D = 5. The result is packaged into the BaryogenesisCert structure alongside the equilibrium theorem matter_balance_equilibrium (Jcost 1 = 0) and the asymmetry theorem asymmetry_positive_cost (0 < Jcost r for 0 < r ≠ 1).

cited recognition theorems

outside recognition

Aspects Recognition does not yet address:

  • Any derivation linking the mechanism count to the specific value of the baryon-to-photon ratio eta or to phi^(-44) is located in separate modules such as MatterAntimatter and BaryogenesisTrajectory.

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.