We present a sound and complete axiomatisation of the epistemic logic \(\textsf {C.RC}\) . In the logic, the propositional fragment is \(\textsf {C}\) lassical, while agents’ epistemic attitudes are closed under on–topic relevant consequence, as modeled by \(\textsf {R}\) elevant \(\textsf {C}\) ontainment logic. By doing so, \(\textsf {C.RC}\) complies with a principle of minimal mutilation of classical logic and lifts some limitations of existing frameworks, such as (i) logics of analytic implication, (ii) topic-sensitive analyses of epistemic modals, and (iii) the logic of relevant reasoners in classical worlds.
