assessmentTypesCert
assessmentTypesCert supplies a concrete certificate that exactly five assessment types exist in the Recognition Science education model, matching configDim = 5. Curriculum theorists or RS education module users would reference this when confirming the assessment cycle spans diagnostic through portfolio evaluation. The definition is a direct record construction that pulls the cardinality equality from the decide-based enumeration theorem.
claimDefine the certificate $C$ by $C.5 = 5$, where $5$ is the cardinality of the finite type of assessment types (diagnostic, formative, summative, criterion-referenced, portfolio).
background
The Education.AssessmentTypesFromConfigDim module sets configDim to 5 to encode five canonical assessment types in the Recognition Science framework. These types span the practical cycle: diagnostic for baseline, formative for feedback, summative for certification, criterion-referenced for standard matching, and portfolio for longitudinal artifacts. The upstream theorem assessmentType_count proves that the finite type AssessmentType has cardinality exactly 5 by direct decision, and the structure AssessmentTypesCert packages this equality as its sole field.
proof idea
This definition is a one-line wrapper that constructs the AssessmentTypesCert record by assigning its five_types field the value of the assessmentType_count theorem.
why it matters in Recognition Science
This definition closes the education assessment module by providing an explicit instance of the five-type certificate required for configDim = 5. It supports the broader Recognition Science claim that educational structures derive from the same dimensional forcing as physical constants, here with D = 5 for the assessment cycle rather than the spatial D = 3. No downstream uses are recorded, leaving open integration with the phi-ladder or RCL.
scope and limits
- Does not enumerate or define the individual assessment types beyond their total count.
- Does not derive the number five from the J-function, phi fixed point, or forcing chain T0-T8.
- Does not connect educational dimensions to physical constants such as alpha or G.
formal statement (Lean)
31def assessmentTypesCert : AssessmentTypesCert where
32 five_types := assessmentType_count
proof body
Definition body.
33
34end IndisputableMonolith.Education.AssessmentTypesFromConfigDim