Create a proof for the following argument, using the implication rules and replacement rules. 1. ADC 2. (8•D) > C 3. (B v A) • (A v D) 4. Create a proof for the following argument, using the implication rules and replacement rules.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Transcription:**

**Problem 1:**

Create a proof for the following argument, using the implication rules and replacement rules.

1. \( A \supset C \)
2. \( (B \cdot D) \supset C \)
3. \( (B \lor A) \cdot (A \lor D) \)  \quad / \( C \)

4. \_\_\_ \quad \_\_\_ \quad \_\_\_ \quad \_\_\_

---

**Problem 2:**

Create a proof for the following argument, using the implication rules and replacement rules.

1. \( H \supset U \)  \quad / \( H \supset (U \lor T) \)

2. \_\_\_ \quad \_\_\_ \quad \_\_\_ \quad \_\_\_
Transcribed Image Text:**Transcription:** **Problem 1:** Create a proof for the following argument, using the implication rules and replacement rules. 1. \( A \supset C \) 2. \( (B \cdot D) \supset C \) 3. \( (B \lor A) \cdot (A \lor D) \) \quad / \( C \) 4. \_\_\_ \quad \_\_\_ \quad \_\_\_ \quad \_\_\_ --- **Problem 2:** Create a proof for the following argument, using the implication rules and replacement rules. 1. \( H \supset U \) \quad / \( H \supset (U \lor T) \) 2. \_\_\_ \quad \_\_\_ \quad \_\_\_ \quad \_\_\_
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