Prove all the axioms, Assume all the axioms we've covered

Prove all the axioms

Reference no: EM133249966

Question: Assume all the axioms we've covered so far. Prove (or show why you can't prove) the following:

(1) ø ⊆ ø;
(2) ∀x(ø ⊆ x);
(3) ∀x (x ⊆ x);
(4) ∃x(x ⊆ ø);
(5) ∀x(x ⊆ ø).

Reference no: EM133249966

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