The phrase "a relevant implication" is correct and usable in written English.
It can be used when discussing a conclusion or consequence that is pertinent to the topic at hand.
Example: "In analyzing the data, we found a relevant implication that could affect our future strategies."
Alternatives: "a significant implication" or "an important implication".
Since the truth of the consequent of a relevant implication is by itself insufficient for the truth of that implication, things can have properties irrelevantly as well as relevantly.
A relevant implication towards carbon sequestration in soil is that the self-assembled small humic molecules may be coupled together into larger molecular weight materials by catalytic technologies that form stable intermolecular covalent bonds.
Hook, or a relevant implication operator, seems to capture one of the relations encountered in the sea battle case, which can be thought of as holding paradigmatically between bearers of truth values, but can be loosely thought of in terms of states of affairs.
A relevant implication of these observations is that "cell separation suppression" as a phenotype does not necessarily prove that the mutated gene is directly involved in cell separation.
A clinically relevant implication is that such a recurrent mutation should be included in targeted BRCA2 mutation screening panels in any population, irrespective of ethnic origin.
As we shall see, however, relevant logic does provide us with a relevant notion of proof in terms of the real use of premises (see the section "Proof Theory" below), but it does not by itself tell us what counts as a true (and relevant) implication.
This study suggests a number of relevant implication for the behavioural ecology of large herbivores.
The ternary accessibility relation needs a philosophical interpretation in order to give relevant implication a real meaning on this semantics.
The relationship between the two systems is that the entailment connective of E was supposed to be a strict (i.e. necessitated) relevant implication.
Involvement of a single pathway in the control of mutually exclusive processes may have relevant implication in the evolution of multicellularity.
It is only when the formal theory is put together with a philosophical interpretation that it can do this (see the section "Semantics for Relevant Implication" below).
