Formal Proofs Show the following two premises are inconsistent by deducing a contradiction from them. Each step must cite a rule of inference (you do not need to cite steps involving the commutativity or associativity of ∨. ∧, or ↔; but, you DO have to explicitly show any steps involving double negation (DN)).     ∃y ( ¬ T ( y ) ∧ S ( y ), Premise ∀x ( S ( x) → T ( x ), Premise

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Formal Proofs

Show the following two premises are inconsistent by deducing a contradiction from them. Each step must cite a rule of inference (you do not need to cite steps involving the commutativity or associativity of ∨. ∧, or ↔; but, you DO have to explicitly show any steps involving double negation (DN)).

 

 

  1. ∃y ( ¬ T ( y ) ∧ S ( y ), Premise
  2. ∀x ( S ( x) → T ( x ), Premise

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