IndisputableMonolith.Ecology.BiodiversityIndexFromConfigDim
The module defines the five canonical ecological guilds along with guild counts, maximum Simpson diversity, and biodiversity certification objects. Theoretical ecologists working within Recognition Science constraints would cite these definitions to ground diversity measures. It is a pure definition module that imports the RS time quantum from Constants and introduces no proofs.
claimThe module introduces the type of five canonical ecological guilds $G$ with $|G|=5$, the count function guildCount, the maximum Simpson diversity index maxSimpsonDiversity, and the certification type BiodiversityCert together with its constructor biodiversityCert.
background
The module sits in the ecology domain of Recognition Science and imports only Mathlib and IndisputableMonolith.Constants. The upstream Constants module supplies the fundamental RS time quantum τ₀ = 1 tick. Sibling definitions inside the module are EcologicalGuild, guildCount, maxSimpsonDiversity, maxSimpsonDiversity_eq, BiodiversityCert, and biodiversityCert; the module doc-comment states that these realize the five canonical ecological guilds.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the basic objects for ecological diversity calculations inside Recognition Science. No downstream theorems are recorded, so it currently serves as a leaf definition set that later biodiversity or guild-interaction results can reference.
scope and limits
- Does not derive any numerical biodiversity values or scaling laws.
- Does not link guild structure to the phi-ladder or J-cost functions.
- Does not prove equality or maximality statements beyond the listed siblings.
- Does not import or reference the forcing chain T0-T8.