Using only Armstrong’s axioms and the FDs
(a) AB ? C
(b) A ? BE
(c) C ? D
give a complete derivation of the FD A ? D.
(1) A ? BE using (b)
(2) BE ? B using Reflexivity
(3) A ? B using Transitivity on (1) and (2)
(4) A ? AB using Augmentation on (3)
(5) A ? C using Transitivity on (4) and (a)
(6) A ? D using Transitivity on (5) and (c)
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