Using rules of inference and/or laws of equivalence, show that the premises below con- clude with e^c. Give the reason for each step as you show that e^c is concluded. Each reason should be the name of a rule of inference and include which numbered steps are involved. For example, a reason for a step might be "Modus Tollens (4,5)." 1. 2. 3. 4. 5. 6. 7. Statement a- f b→ d ¬d^a fvc -b-e Reason Premise Premise Premise Premise Premise

CHALLENGE АCTIVITY 3.5.1: Reduce the proposition using laws. Need help with this tool? Jump to level 1 Simplify (sAw)v(-wAs) to s 2 3 1. Select a law from the right to apply Laws (SAW)V(-WAS) Distributive (алb)v(алс) ал(bvc) (avb)^(avc) = av(b^c) Commutative avb E bva anb ba Complement av-a F ала Identity алт avF Double negation ma a Check Next II II II II II II 3.

Fill in the blanks with the valid form of inference that is being used and the lines the inference follows from

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