  We prove homological mirror symmetry for the quintic Calabi-Yau 3-fold. The
proof follows that for the quartic surface by Seidel (arXiv:math/0310414)
closely, and uses a result of Sheridan (arXiv:1012.3238). In contrast to
Sheridan's approach (arXiv:1111.0632), our proof gives the compatibility of
homological mirror symmetry for the projective space and its Calabi-Yau
hypersurface.
