Here is the proof:



1.  A --> B & C

2.  B v D --> E

3.:: A         Conditional Proof (CP) assumption

4.:: B & C     3,1  Modus Ponens (MP)

5.:: B         4 Simplification (SIMP)

6.:: B v D     5 Addition (ADD)

7.:: E         6,2 MP

8.  A --> E    3-7 CP





 

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