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References to 'axiom of union'
1. $\sigma$-compact by Koro
2. choice function by yark
3. compact by djao
4. CW complex by antonio
5. direct image by djao
6. field adjunction by pahio
7. F\"urstenberg's proof of the infinitude of primes by mathcam
8. index of set theory by rspuzio
9. interior by yark
10. inverse image by djao
11. Lebesgue measure by bbukh
12. meager by Koro
13. metric space by djao
14. neighborhood system on a set by CWoo
15. paved space by gel
16. principle of inclusion-exclusion, proof of by mps
17. proof of Carath\'eodory's lemma by gel
18. proof of Euler's criterion by Koro
19. region by Wkbj79
20. semialgebraic set by jirka
21. theory of algebraic and transcendental numbers by alozano
22. tube lemma by asteroid