Is it necessary to transmit predicted block of intra-prediction of H.264 or H.265 to decoder side?

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I am wondering is it necessary to transmit predicted block of intra-prediction of H.264 or H.265 to decoder side.

During intra-prediction, the encoder estimates all possible mode for given block size, retrieves predicted block according to picked mode and calculate residual block by subtracting predicted block and original pixel.

I am sure that residuals and the mode flag are necessary for the decoder, but not sure if predicted values are also required. It may be possible to get predicted values from the neighboring block with the mode flag.

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