The phrase 'relegated to the appendix' is correct and usable in written English. This phrase is typically used to refer to something that has been excluded from the main body of a text, often in favor of being placed in an appendix or endnotes section. For example, "With the novel being so long, some of the minor plot points were relegated to the appendix."
All proofs are relegated to the Appendix.
Several proofs are relegated to the Appendix.
All tables and figures are relegated to the Appendix.
Proof of all lemmas and propositions are relegated to the appendix.
The proofs of the achievable rate expressions are relegated to the appendix.
The detailed proof of the above result is rather involved and relegated to the Appendix.
Hence, mathematical deductions are relegated to the appendices.
Unicef is relegated to the back.
Sophomores are relegated to the sixth floor.
The rest was relegated to the trash.
"We're still relegated to the margins".
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MA of Applied Linguistic, Maquarie University, Australia