# Proof of Compositionality of CFT Correctness

## TL;DR

This paper provides a formal proof demonstrating the compositional correctness of component fault trees, ensuring that system reliability can be verified through modular analysis.

## Contribution

It offers the first formal proof of the central theorem on the compositionality of fault tree correctness, advancing theoretical understanding.

## Key findings

- Formal proof of fault tree compositionality
- Validation of modular reliability analysis
- Theoretical foundation for fault tree methods

## Abstract

In the paper Compositionality of Component Fault Trees, we present a discussion of the compositionality of correctness of component fault trees. In this technical report, we present the formal proof of the central theorem of the aforementioned publication.