module module high

`IndisputableMonolith.CrossDomain.ConfigDimUniversality`

The module defines configDim equal to 5 as the property that a type is finite with cardinality exactly five. It supplies HasConfigDim5 instances for SensoryModality, PrimaryEmotion, BiologicalState, EconomicCycle, and LinguisticRole, plus a triple_product_125 construction. Researchers working on cross-domain unification in Recognition Science cite these definitions when mapping independent modalities onto a common five-element configuration space. The module contains only typeclass declarations and instances with no proofs.

claimA type $X$ satisfies configDim$(X)=5$ if and only if $X$ is finite and $|X|=5$.

background

The module sits inside the CrossDomain section of Recognition Science and supplies a uniform cardinality condition that applies across sensory, emotional, biological, economic, and linguistic structures. It introduces the predicate HasConfigDim5 together with concrete instances for SensoryModality, PrimaryEmotion, BiologicalState, EconomicCycle, and LinguisticRole. A further construction triple_product_125 assembles three such five-element objects.

proof idea

This is a definition module, no proofs.

why it matters in Recognition Science

The module supplies the configDim=5 property that feeds the cross-domain universality arguments built from its sibling declarations. It thereby supports the claim that multiple independent domains share the same five-element configuration structure.

scope and limits

Does not prove any theorems or lemmas.
Does not import or reference physics-specific constants or forcing-chain steps.
Does not define configDim for values of D other than 5.
Does not establish dependencies on upstream Recognition Science results.

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