Sorry, no online dictionaries contain the exact phrase demonstrated by.
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Reverse dictionary results:
1. shown by
 2. proven by
3. evidenced by
4. indicated by
5. demonstrate
6. demonstrating
7. establish
8. found
9. indicate
10. indicated
 11. prove
12. proved
13. proven
14. proving
15. revealed
16. show
17. showed
18. shown
19. demonstrates
20. illustrates
 21. index
22. indicates
23. proves
24. showing
25. shows
26. test
27. thus
28. confirmed
29. demonstrable
30. demonstrably
 31. demonstration
32. documented
33. established
34. evidenced
35. illustrate
36. illustrated
37. lemma
38. meitner
39. substantiated
40. account

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