2 Sentences With "relevant instance"

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The third and most relevant instance took place 112 years later. from New Republic
The axiom schema of separation, the other axiom schema in ZFC, is implied by the axiom schema of replacement and the axiom of empty set. Recall that the axiom schema of separation includes :\forall A\, \exists B\, \forall C\, (C \in B \Leftrightarrow [C \in A \land \theta(C)]) for each formula \theta in the language of set theory in which B is not free. The proof is as follows. Begin with a formula \theta(C) that does not mention B, and a set A. If no element E of A satisfies \theta(E) then the set B desired by the relevant instance of the axiom schema of separation is the empty set.