Question

Give the indirect proofs of: p→q,¬r→¬q,¬r⇒¬p.p→q,¬r→¬q,¬r⇒¬p. p→¬q,¬r→q,p⇒r.p→¬q,¬r→q,p⇒r. a∨b,c∧d,a→¬c⇒b.

Give the indirect proofs of:

  1. p→q,¬r→¬q,¬r⇒¬p.p→q,¬r→¬q,¬r⇒¬p.

  2. p→¬q,¬r→q,p⇒r.p→¬q,¬r→q,p⇒r.

  3. a∨b,c∧d,a→¬c⇒b.

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