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Theorems — Continuity Theory

Every theorem derives from Axiom-0. Classical results emerge as degenerate limits.

10 theorems across 1 modules

Catalog

ID	Name	Module
`T-CT-1`	Tier-1 Kernel Identities	`continuity_theorems`
`T-CT-2`	Scalar Limit	`continuity_theorems`
`T-CT-3`	Cascade Equivalence	`continuity_theorems`
`T-CT-4`	Geometric Slaughter Blindness	`continuity_theorems`
`T-CT-5`	Blind Spot Detection	`continuity_theorems`
`T-CT-6`	Dormant vs Inert Distinction	`continuity_theorems`
`T-CT-7`	Category Regime Separation	`continuity_theorems`
`T-CT-8`	Heterogeneity Gap Ordering	`continuity_theorems`
`T-CT-9`	Weakest Channel Diversity	`continuity_theorems`
`T-CT-10`	Persistence Functional Decomposition	`continuity_theorems`

Continuity Theorems

Source: closures/continuity_theory/continuity_theorems.py

T-CT-1: Tier-1 Kernel Identities

Function: theorem_CT1_kernel_identities()
Module: continuity_theorems

T-CT-2: Scalar Limit

Function: theorem_CT2_scalar_limit()
Module: continuity_theorems

T-CT-3: Cascade Equivalence

Function: theorem_CT3_cascade_equivalence()
Module: continuity_theorems

T-CT-4: Geometric Slaughter Blindness

Function: theorem_CT4_geometric_slaughter_blindness()
Module: continuity_theorems

Function: theorem_CT5_blind_spot_detection()
Module: continuity_theorems

T-CT-6: Dormant vs Inert Distinction

Function: theorem_CT6_dormant_vs_inert()
Module: continuity_theorems

T-CT-7: Category Regime Separation

Function: theorem_CT7_category_regime_separation()
Module: continuity_theorems

T-CT-8: Heterogeneity Gap Ordering

Function: theorem_CT8_heterogeneity_gap_ordering()
Module: continuity_theorems

T-CT-9: Weakest Channel Diversity

Function: theorem_CT9_weakest_channel_diversity()
Module: continuity_theorems

T-CT-10: Persistence Functional Decomposition

Function: theorem_CT10_persistence_decomposition()
Module: continuity_theorems

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