Use the rules of inference to show that if 3x(M(x) ^ P(x)) and Vx(K(x) → ¬M(x)) are true, then 3x(P(x) ^ ¬K(x)) is also true, where the domains of all the quantifiers are the same.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 40E
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Use the rules of inference to show that if 3x(M(x) AP(x)) and Vx(K (x) → ¬M(x))
are true, then 3x(P(x) ^ ¬K(x)) is also true, where the domains of all the quantifiers are the same.
Transcribed Image Text:Use the rules of inference to show that if 3x(M(x) AP(x)) and Vx(K (x) → ¬M(x)) are true, then 3x(P(x) ^ ¬K(x)) is also true, where the domains of all the quantifiers are the same.
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