Math Problem Statement

[(p ∨ q) ∧(~p)] → q

P1: P2:

Conclusión: Ley utilizada:

Solution

Para analizar el argumento lógico y determinar la ley utilizada, desglosamos la expresión dada:

[(pq)(¬p)]q[(p \vee q) \wedge (\neg p)] \rightarrow q

Paso 1: Identificación de premisas

Podemos descomponer la expresión

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Math Problem Analysis

Mathematical Concepts

Propositional Logic
Logical Equivalence
Implication

Formulas

Implication formula: (A → B) ≡ (~A ∨ B)
Distributive property: A ∧ (B ∨ C) ≡ (A ∧ B) ∨ (A ∧ C)

Theorems

Law of Implication
De Morgan's Laws
Distributive Laws

Suitable Grade Level

Undergraduate or Advanced High School (Grades 11-12)