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Help! I have a symbolic Logic class that is really giving me a hard time (numbers are much easier to work with than letters!) I have to give a derivation for the conditional if ~B then ~A, Therefore if A then B. (I don't have a horseshoe symbol on my computer). I am so frustrated, I just want to use Transposition and get it over with but I can't. My professor highly recommends using a Conditional Proof, but I am stumped after I assume B. Any suggestions?? The rules I am allowed to use are the following:

Conjunction

Addition

SImplification

Disjunctive Syllogism

Excluded-Midle Introduction

Commutation

Association

Distribution

Double Negation

De Morgan

Modus Ponens

Modus Tollens

Hypothetical Syllogism

Constructive Dilemma

Transposition

Implication

Exportation

and Equivalence

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# Derivation for symbolic Logic

Can you offer guidance or do you also need help?

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