Zambia

1. This Constitution is the supreme law of the Republic of Zambia and any other written law, customary law and customary practice that is inconsistent with its provisions is void to the extent of the inconsistency.
2. An act or omission that contravenes this Constitution is illegal.
3. This Constitution shall bind all persons in Zambia, State organs and State institutions.
4. The validity or legality of this Constitution is not subject to challenge by or before a State organ or other forum.
… (Art. 1)

The Laws of Zambia consist of—
a. this Constitution;
b. laws enacted by Parliament;
c. statutory instruments;
d. Zambian customary law which is consistent with this Constitution; and
e. the laws and statutes which apply or extend to Zambia, as prescribed. (Art. 7)

…
5. Where the Constitutional Court decides that a provision of a statutory instrument is inconsistent with a provision of this Constitution, that statutory instrument is void from the date on which it was made.
… (Art. 67)