Lemma: A Criterion for Valid Logical Arguments

A logical argument consisting of the premises $p_1,\ldots,p_n$ and the conclusion $q$ is valid if and only if the proposition $(p_1\wedge\ldots\wedge p_n)\Rightarrow q$ is a tautology.

Proofs: 1

Lemmas: 1 2 3
Proofs: 4 5


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References

Bibliography

  1. Kane, Jonathan: "Writing Proofs in Analysis", Springer, 2016
  2. Kohar, Richard: "Basic Discrete Mathematics, Logic, Set Theory & Probability", World Scientific, 2016