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We know that the Distributive Law tells us that a V (B₁ ^ ß₂) = (a V B₁) ^ (a V B₂), for any propositions a, 3₁, and 32. Suppose that A B; denotes the n-term conjunction, 3₁ A ₂ A... A i=1 Bn. Thus, the two-term Distributive Law could have been rewritten as: 2 2 αν Λ β = Λαν β;). i=1 i=1 Use formal mathematical induction as well as the two-term version of the Distributive Law to prove the generalization of the Distributive Law to n terms: n n a VA B₁ = A (a V B₁), for all integers n ≥ 2.

We know that the Distributive Law tells us that a V (B₁ ^ ß₂) = (a V B₁) ^ (a V B₂), for any propositions a, 3₁, and 32. Suppose that A B; denotes the n-term conjunction, 3₁ A ₂ A... A i=1 Bn. Thus, the two-term Distributive Law could have been rewritten as: 2 2 αν Λ β = Λαν β;). i=1 i=1 Use formal mathematical induction as well as the two-term version of the Distributive Law to prove the generalization of the Distributive Law to n terms: n n a VA B₁ = A (a V B₁), for all integers n ≥ 2.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please help me solve this question in formal deduction.

We know that the Distributive Law tells us that a V (B1 ^ B₂) = (a V B₁) ^ (a V B₂), for any n propositions a, 3₁, and 32. Suppose that A B; denotes the n-term conjunction, 3₁ ^ B₂ ^... A i=1 Bn. Thus, the two-term Distributive Law could have been rewritten as: 2 2 a V A Bi = A (a V Bi). i=1 i=1 Use formal mathematical induction as well as the two-term version of the Distributive Law to prove the generalization of the Distributive Law to n terms: n n a V A Bi = A (a V B₁), for all integers n > 2. i=1 i=1
Transcribed Image Text:We know that the Distributive Law tells us that a V (B1 ^ B₂) = (a V B₁) ^ (a V B₂), for any n propositions a, 3₁, and 32. Suppose that A B; denotes the n-term conjunction, 3₁ ^ B₂ ^... A i=1 Bn. Thus, the two-term Distributive Law could have been rewritten as: 2 2 a V A Bi = A (a V Bi). i=1 i=1 Use formal mathematical induction as well as the two-term version of the Distributive Law to prove the generalization of the Distributive Law to n terms: n n a V A Bi = A (a V B₁), for all integers n > 2. i=1 i=1
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