Answer to Question #249491 in Discrete Mathematics for ffh

Question #249491

Show following equivalence without considering the truth table.

(ð‘Ì… ∧( ð‘žÌ…∧ð‘Ÿ)) ∨(𑞠∧ð‘Ÿ) ∨(ð‘ ∧ð‘Ÿ)↔ð‘Ÿ


1
Expert's answer
2021-10-11T15:40:41-0400

"(\\lnot p \\land(\\neg q \\land r))\\lor(q\\land r) \\lor(p\\land r)\\leftrightarrow(r \\land(\\neg q \\land \\neg p))\\lor(r\\land (q\\lor p)) \\leftrightarrow"

"\\leftrightarrow r\\land ((\\lnot p \\land \\lnot q) \\lor (q \\lor p)) \\leftrightarrow r\\land (\\lnot(p\\lor q) \\lor (p\\lor q)) \\leftrightarrow r\\land 1 \\leftrightarrow r"



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