… is higher than the probability
...is equal to or higher than the probability
is greater than one
is equal to or greater than one
Thus, in expectation, the posterior probability of the true hypothesis is greater than its prior probability.
Thus, in expectation, the posterior probability of the true hypothesis is equal to or greater than its prior probability.
That matters.
I tend to go for greater being ⇒ and strictly greater being >.
That’s not how English works and that’s not how people will understand your words.
Thinking about it, you are correct; I will put off my efforts to reform mathematical terminology to another time.
...is equal to or higher than the probability
is equal to or greater than one
Thus, in expectation, the posterior probability of the true hypothesis is equal to or greater than its prior probability.
That matters.
I tend to go for greater being ⇒ and strictly greater being >.
That’s not how English works and that’s not how people will understand your words.
Thinking about it, you are correct; I will put off my efforts to reform mathematical terminology to another time.