Prove That $( q \wedge ( p \rightarrow \neg q ) ) \rightarrow \neg p$

question 184

Essay

Prove that $( q \wedge ( p \rightarrow \neg q ) ) \rightarrow \neg p$ is a tautology using propositional equivalence and the laws of logic.

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Definitions:

Option

A contract that gives its owner the right to buy or sell some asset at a fixed price on or before a given date.

European Option

Option that can be exercised only on the expiration date.

Expiration Date

The last day on which an option can be exercised.

Underlying Asset

The financial instrument (e.g., stock, bond, commodity) upon which a derivative's price is based.