Symbolic Logic 8: Rules of Replacement

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In this video we learn the ten rules of replacement and see how we can apply them to our proofs.
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in example no. 2, is it okay to use identity for line 4 through line 3? so that i can arrive with -N

marieerichcajuguiran
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Very helpful, but I don’t understand why in the first examples of the five replacement rules you had to use commutation for having a DS?
If the rule of DS can work with ~p or ~q.

Efiimero
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For the last problem in the first 5 rules, why did you use simplification on line 3? I thought that simplification was p*q/p. Following that, wouldn't you have not been able to conduce HvL but K or am I missing something?

damyriaann