Macro-writing challenge

Write a macro check-arguments-non-nil to be used in function definitions, that would expand to assertion about every argument being non-nil.
The intended usage of this macro:

(defun foo (a b c d)
(check-arguments-non-nil)
foo-body)

This should expand to:

(defun foo (a b c d)
(assert (and (not (null a)) (not (null b)) (not (null c)) (not (null d)))
(a b c d)
"Null argument in FOO")
foo-body)

The macro must work whatever the number and names of the function parameters.

>>12
check-type does not cut it, because it requires explicit mention of every arguments. The challenge is for a macro that figures out what the arguments are on its own.

>>13
Not every type has a sane default. E.g. what's the default for boolean?