Either Arithmetic and Logic Are Both Necessary or Logic and Geometry

Multiple Choice

Either arithmetic and logic are both necessary or logic and geometry are both necessary. If all knowledge is experiential, then even logic is not necessary. So, not all knowledge is experiential.
-Consider assuming 'E' for an indirect proof of the given argument. Which of the following propositions is an immediate (one-step) consequence in PL of the given premises with that further assumption for indirect proof?

A) L
B) ∼L
C) L $\lor$ (A • G)
D) L • (A $\lor$ G)
E) L • (A • G)