Show that the argument form with premises (p∧t)->(r∨s), q->(u∧t), u->p, and s and conclusion q -> r is valid by using rules of inferences.
razdiral3m
Open question
2022-08-17
Show that the argument form with premises and and conclusion is valid by using rules of inferences.
Answer & Explanation
Marley Abbott
Beginner2022-08-18Added 4 answers
Step 1
1) Hypothesis
2) Simplification
3) Hypothesis
4) Hipothetical Syllogism
5) Hyp. Sull (using (1) and (4))
6) Simplification
7) (Logical eqvivalence involoing Statements) (from (4) and (6))
8) (Hypothesis)
9) (Hyp. Syllogism using (4) and (8))
10) (Hyp. Syll. using (1 and (9))
11) (Hypothesis)
12) (Disjunctive syllogism)(using (11) and (12))
13) (Hyp. Syll. using (10) and (12))
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