room_temperature_implies_high_tc
plain-language theorem explainer
This theorem shows that the room-temperature superconductivity ledger condition implies the high-Tc superconductivity ledger condition. Condensed matter researchers using Recognition Science would cite it to confirm that ambient coherence requirements are identical to the phi-range input needed for elevated critical temperatures. The proof is a one-line term that returns the hypothesis unchanged, relying on the definitional identity between the two ledger propositions.
Claim. If the room-temperature superconductivity ledger condition holds, then the high-Tc superconductivity ledger condition holds, where both are the proposition $1 < phi < 2$.
background
The high-Tc superconductivity ledger is the proposition $1 < phi < 2$. The room-temperature superconductivity ledger is defined as exactly this same proposition. The module imports the high-Tc structure definition and the engineering room-temperature theorem, which states existence of ambient superconductivity conditions together with positive $T_c$ rungs on the phi-ladder.
proof idea
The proof is a one-line term that applies the hypothesis h directly, since room_temperature_superconductivity_from_ledger is definitionally equal to high_tc_superconductivity_from_ledger.
why it matters
This declaration supplies the direct structural implication linking room-temperature superconductivity to the high-Tc ledger input required by the Recognition Science framework. It supports the engineering theorem asserting ambient SC conditions and positive $T_c$ rungs, ensuring consistency with the phi-ladder (1 < phi < 2) that appears in the T6 fixed-point step of the forcing chain.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.