r_process_yields_structure
The declaration proves that the r-process yields structure holds by establishing the neutron-star equation-of-state ledger. Nuclear astrophysicists modeling heavy-element nucleosynthesis in neutron-star mergers would cite this when linking yield calculations to EOS constraints. The proof is a direct term application of the has_ns_eos_structure theorem.
claimThe r-process yields structure holds, where this is defined as the neutron-star equation of state from the ledger: $r$-process yields from ledger $:=$ neutron-star EOS from ledger.
background
In the nuclear domain the r-process yields from ledger is defined as the neutron-star equation of state from ledger. The upstream has_ns_eos_structure theorem establishes neutron-star EOS from ledger by direct appeal to neutron_star_eos_structure. The module supplies the structural bridge between r-process nucleosynthesis yields and the underlying neutron-star EOS ledger.
proof idea
The proof is a one-line term wrapper that applies the has_ns_eos_structure theorem.
why it matters in Recognition Science
This theorem supplies the r-process yields structure required for nuclear ledger consistency. It connects to the neutron-star EOS structure and supports the chain from unified forcing (T0-T8) to nuclear predictions on the phi-ladder. No immediate downstream uses appear in the current graph.
scope and limits
- Does not compute explicit isotopic abundance patterns.
- Does not incorporate merger dynamics or neutrino transport.
- Does not address s-process or other nucleosynthesis channels.
formal statement (Lean)
14theorem r_process_yields_structure : r_process_yields_from_ledger :=
proof body
Term-mode proof.
15 has_ns_eos_structure
16
17/-- R-process-yields structure implies neutron-star-EOS-side input. -/