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Given a proposition P as below which is a tautology, P= (p+ q) → [(p vr)) → (q v r)] we want to prove the following implication using the first substitution rule. ((1pv q) = [(1par)) v (r→ q)] Which variable should we replace with another proposition (and what proposition) to complete the proof? In other words how can we prove this implication using the first substitution rule?

Given a proposition P as below which is a tautology, P= (p+ q) → [(p vr)) → (q v r)] we want to prove the following implication using the first substitution rule. ((1pv q) = [(1par)) v (r→ q)] Which variable should we replace with another proposition (and what proposition) to complete the proof? In other words how can we prove this implication using the first substitution rule?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.CT: Test
Problem 3CT: To prove a theorem of the form "If P, then Q" by the indirect method, the first line of the proof...
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Given a proposition P as below which is a tautology, P= (p→ q) + [(pvr)) → (qv r)] we want to prove the following implication using the first substitution rule. ((1p v g) = [(1par)) v (r→ q)] Which variable should we replace with another proposition (and what proposition) to complete the proof? In other words how can we prove this implication using the first substitution rule?
Transcribed Image Text:Given a proposition P as below which is a tautology, P= (p→ q) + [(pvr)) → (qv r)] we want to prove the following implication using the first substitution rule. ((1p v g) = [(1par)) v (r→ q)] Which variable should we replace with another proposition (and what proposition) to complete the proof? In other words how can we prove this implication using the first substitution rule?
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