# What is the meaning of this symbol that looks like an inverted uppercase A?

I found this symbol in a book I'm reading. Does anyone know what this symbol means? Does it mean for all js?

• Correct, but I'll add that the phrase is $\forall{j{\neq}i}$, not just $\forall{j}$ Aug 26, 2021 at 1:12
• @ZacharyVance Actually $\forall j\neq i$ is an abbreviation, which is not fully formalized, but usually does not raise interpretation issues. The proper form is $\forall j \in S : P(j)$ where $S$ is the set of all values that can be taken by the quantified variable $j$, and the predicate $P$ must be verified for each value. Aug 26, 2021 at 12:53