The formula ∀ v : H ( f ) denotes that for every tuple v with header H, the formula f holds true.
Let us break it down:
∀: This symbol denotes the universal quantifier, which signifies “for all” or “for every.” It states that the following statements apply to all elements in a given domain.
v: This variable reflects elements in the domain to which the quantification applies. It is commonly used in mathematical logic to represent a general element.
H (f): This is a predicate formula that uses the variable v. The particular form of this formula is determined by the context of your schema S, as well as the definitions of H and f within it. H might represent a property or state, whereas f could represent a function or relationship.