module module moderate

`IndisputableMonolith.CrossDomain.ConfigDimUniversality`

The module defines configDim=5 as the property of being a finite type with exactly five elements and supplies instances for five cross-domain categories. Recognition Science researchers working on cross-domain patterns cite it to establish that the five-fold structure appears uniformly. The module is purely definitional, consisting of typeclass declarations and instances with no theorems or proofs.

claimA type $X$ has configDim $D=5$ if and only if $X$ is finite and $|X|=5$. Instances exist for SensoryModality, PrimaryEmotion, BiologicalState, EconomicCycle, and LinguisticRole, together with the auxiliary lemma triple_product_125.

background

The module sits inside the CrossDomain section and introduces the predicate HasConfigDim5, which encodes the statement that a type is finite with cardinality five. It also declares the five concrete types (SensoryModality, PrimaryEmotion, BiologicalState, EconomicCycle, LinguisticRole) that are asserted to satisfy the predicate. The setting relies on Mathlib's Finite and Finset.card infrastructure; the module doc-comment states the equivalence directly.

proof idea

this is a definition module, no proofs

why it matters in Recognition Science

The module supplies the cross-domain instances that justify the universality of configDim=5 inside the Recognition framework. It feeds the sibling declaration triple_product_125 and supports later claims that the same five-element structure recurs across sensory, emotional, biological, economic, and linguistic domains.

scope and limits

Does not prove that configDim must equal 5 in every domain.
Does not derive the value 5 from the forcing chain T0-T8 or the Recognition Composition Law.
Does not link configDim=5 to physical constants such as phi or alpha.
Does not contain any theorems, only typeclass instances.

declarations in this module (19)

def HasConfigDim5 L22
inductive SensoryModality L26
inductive PrimaryEmotion L30
inductive BiologicalState L34
inductive EconomicCycle L38
inductive LinguisticRole L42
theorem sensory_hasConfigDim5 L46
theorem emotion_hasConfigDim5 L48
theorem biological_hasConfigDim5 L50
theorem economic_hasConfigDim5 L52
theorem linguistic_hasConfigDim5 L54
theorem triple_product_125 L60
theorem pair_product_25 L68
theorem configDim5_equicardinal L76
theorem three_domain_product L83
theorem five_domain_product L88
theorem fivePowFive L99
structure ConfigDimUniversalityCert L101
def configDimUniversalityCert L115