Before revision:  The three orthogonal martingale classes are vital pillars for establishing our optional martingale representation theorem, when (local ) martingales of the large filtration are stopped at the death time  .
After revision:  The three orthogonal martingale classes are vital pillars for establishing our optional martingale representation theorem, when (local ) martingales of the large filtration are stopped at the death time can be decomposed into several and precise orthogonal local martingales .