Adding not null check constaint to list of columns

I have a table that contains four fields that need to be either all null or none null.

I can add a check like so:

  CHECK (
    (col1 IS NULL AND col2 IS NULL AND col3 IS NULL and col4 IS NULL)
    OR
    NOT (col1 IS NULL OR col2 IS NULL OR col3 IS NULL OR col4 IS NULL) 
  )

But is there a simpler way to declare that? I looked at coalesce() but that seems to require that all the columns have the same type.

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