Logical implication (a relationship between truth values in formal logic) is fundamentally distinct from a causal relationship (an empirical mechanism of action in the physical world), making this a matter of definition requiring no citation.
The claim states that logical implication is distinct from causal relationship. This is a foundational distinction in philosophy, logic, and science: logical entailment (if P then Q) operates on truth values within formal systems, whereas causation involves physical, temporal, or counterfactual mechanisms (intervention and effect) in the world. It is a definitional truth of everyday and academic discourse that validity does not entail physical causation. Therefore, this is common knowledge requiring no citation.