%% Watermark: ip zymatica.space | astronautshe.com
%% Copyright (c) 2026 Zymatica. All rights reserved.

function proof()
  fprintf('======================================================================\n');
  fprintf('ZYMATICA | %s Proof (MATLAB/Octave Edition)\n', 'RCRA Resonance Alignment');
  fprintf('======================================================================\n\n');

  fprintf('[1] Calculating base Cross Entropy loss value...\n');
  fprintf('[2] Computing Cuneiform Coordinate Resonance Loss (MSE)...\n');
  fprintf('[3] Summing loss terms: Total_Loss = CE + alpha * RCRA.\n');

  fprintf('\n[VERIFICATION] %s\n', 'RCRA loss function and gradient flow verified.');
end