I defined a notion (say, some kind of equivalence) in three forms, the first implies the second, which in turn implies the third.
I would like to use "strong", (nothing), and "weak" to describe them. But some one of great importance already used "weak" for something strongly related to the second form. To be compatible with previous studies, I have to refer to the first as "strong", to the second as "weak".
The third is weaker than the weak. I need an adjective to describe it. "Weaker" is not good enough. The notion also induce an adjective (e.g. equivalent) and a verb (e.g. equal), so I also need an adverb. "Weakerly" sounds strange.
Is there a standard adjective to describe the third notion? I now use "feeble".
I also see the possibility of defining a "stronger than strong" form. Suggestions are also welcome for this.