Piping here documents

[Robert Lupton the Good]

What's the best way of piping a here document into a long shell script?
For a one liner
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#!/bin/sh
cat <<-EOF | sed -e s/Hello/Goodbye/
	Hello world
EOF
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works just fine, but if the rest of the commands (here just sed) don't
fit on a line this doesn't work. The best that I could come up with was:
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#!/bin/sh
if true; then
cat <<-EOF
	Hello world
EOF
fi | sed -e s/Hello/Goodbye/
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Any ideas?

				Robert