(∃x)(∃y)(Axy • x=y) ⊃ (∃x)Axx
-Which of the following propositions is also derivable in F?

Question

Quizplus · Accepted Answer

B) is derivable because it represents the Law of Excluded Middle, stating that either everything is different or there exists something that is not different (i.e., identical to itself). This is a fundamental principle in logic, implying that if it's not the case that for all x and y, Axy implies x is not equal to y, then there must exist an x such that Axx is true.

(∃X)(∃y)(Axy • X=y) ⊃ (∃X)Axx -Which of the Following Propositions ∨ \lor ∨

(∃X)(∃y)(Axy • X=y) ⊃ (∃X)Axx
-Which of the Following Propositions $\lor$