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Explain the theorem c_pos from IndisputableMonolith.Foundation.ConstantDerivations.

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 c_pos asserts that the RS-native speed of light satisfies c_rs > 0.

Proof proceeds in two steps. First apply c_rs_eq_one to obtain the equality c_rs = 1. Then norm_num reduces the goal 1 > 0 to a trivial numerical fact.

The underlying definitions are c_rs := ℓ₀ / τ₀ together with the RS-native assignments ℓ₀ = 1 and τ₀ = 1 (both set to unity by definition of the fundamental scales). Hence c_rs = 1 follows immediately by division, and positivity is immediate from the ordering on ℝ.

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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.