carbonRemovalCert
plain-language theorem explainer
This definition instantiates the CarbonRemovalCert structure by assigning the proven count of five pathways to its five_pathways field. Climate researchers working in the Recognition Science framework cite it to anchor the canonical set of removal options under configDim D=5. The construction is a direct one-line structure fill that references the decide-based cardinality theorem.
Claim. The carbon removal certificate is the structure asserting that the finite cardinality of the pathway type equals five, instantiated directly from the established count.
background
The module sets five canonical carbon-dioxide-removal pathways for configDim equal to five: afforestation, soil carbon, biochar, direct air capture, and enhanced weathering. These cover biological uptake, soil storage, stable biomass, engineered capture, and mineral sequestration. The CarbonRemovalCert structure requires that the finite type cardinality of the pathway type equals five. This is witnessed upstream by the theorem that establishes the equality by direct computation.
proof idea
The definition is a one-line wrapper that applies the carbonRemovalPathway_count theorem to populate the five_pathways field of the CarbonRemovalCert structure.
why it matters
This definition supplies the concrete certificate for the five carbon removal pathways in the climate module, fulfilling the configDim D=5 requirement. It provides a verified foundation for climate pathway calculations with zero axioms or sorrys. No parent theorems appear in the used-by results, marking it as a terminal definition for this component.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.