Math Problem Statement
Prove that the following are logically equivalent: i. (p →𝑞)∨(𝑞→𝑟) and 𝑝→(𝑞∨𝑟).
Solution
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Math Problem Analysis
Mathematical Concepts
Propositional Logic
Logical Equivalence
Implications
Logical Connectives
Formulas
Implication: p → q ≡ ¬p ∨ q
Disjunction: p ∨ q
Tautology: q ∨ ¬q = True
Theorems
Tautology
Associative and Commutative Properties of Logical Connectives
Suitable Grade Level
College-level Logic or Advanced High School Mathematics
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