Exact(60)
For every y ∈ Y X and every v ∈ V ^, d y, v f = cost (y, v y ) + d ^ v y, v f, and d v, y f = min (u, y ) ∈ E f (d ^ v, u f + cost (u, y ) ). Proof.
The formula "For every y, x ∊ y," for example, is a condition on x.
It is then easy to use the usual rules of the predicate calculus to derive also the statement, "There exists an x such that, for every y, x is not M of y"; i.e., (∃ x)(∀y)∼Mxy.
"Not (x ∊ y)," for example, is a formula (which is abbreviated to x ∉ y), and "There exists an x such that for every y, y ∉ x" is a formula.
for every y ∈ U.
for every y ∈ F ( t, α ).
for every y ∈ L { F n }.
holds for every y ∈ H with x ≠ y.
Then, for every y ∈ E, y ∉ G ( y ).
For every y ∈ C, we have f ( y, y ) = 0.
holds for every y ∈ H with y ≠ x.
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