Let $F$ be a field equipped with the addition (+) operation and multiplication (×) operation with axioms https://mathworld.wolfram.com/FieldAxioms.html
In general does $-1×-1=1$? In what cases would that not be the case?
Apologies if this question has been asked before, i've tried searching around but they usually just give analogies or are referring to a specific field like $\mathbb{R}$.