quarkFlavors_eq_cubeFaces
plain-language theorem explainer
The theorem establishes that the number of quark flavors equals 6 in the Recognition Science particle model. Researchers certifying detector depth for quantum field events would cite this to confirm the six quarks match the six cube faces. The proof is a direct reflexivity step on the definition that sets quarkFlavors to 6.
Claim. The number of quark flavors equals 6.
background
The module sets five detection methods equal to configDim D = 5, treating a particle detector as a recognition lattice for quantum field events. The upstream definition quarkFlavors : ℕ := 6 supplies the explicit count of the six quarks (u, d, s, c, b, t) identified with cube faces. This local setting follows the module's statement that 6 quarks equal cube faces while maintaining zero sorry or axiom in the Lean development.
proof idea
The proof is a one-line term-mode wrapper that applies reflexivity directly to the definition of quarkFlavors.
why it matters
This equality supplies the six_quarks field inside the downstream particlePhysicsDepthCert construction that also records five detectors and six leptons. It completes the cube-face identification step for quarks within the RS framework, consistent with D = 3 spatial dimensions where a cube has six faces. No open questions remain as the claim is fully proved with no scaffolding.
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