IR027 — Identification with the requested constant

From exp(L)=2 and positivity, exp(L/2)=sqrt2 and exp(L/sqrt2)=exp(sqrt2*L/2). Thus the fixed approximation sequence denotes the positive real power (sqrt2)^(sqrt2).

Method: native-ring. Induction: none. Risk: high.

This is a human-readable planning contract, not a parsed kernel formula or accepted proof.

Planned prerequisites and notation

• IR015 — Sqrt2 algebra and strict bounds
• IR022 — Exponential addition and integer powers
• IR024 — Log-exp inverse at two
• IR026 — Canonical approximation accuracy
• IRD09 — CApprox