vindicate
To prove someone was right or not guilty after doubt.
To vindicate someone means to clear their name by proving they were right all along, or to show that accusations against them were false. When new evidence vindicates a person, it demonstrates their innocence or confirms that their actions or beliefs were justified.
Imagine a student accused of copying someone's science project. If the teacher later discovers the accuser actually copied from them, that discovery vindicates the innocent student. Or picture an inventor whose radical idea everyone mocked. Years later, when her invention succeeds and changes the world, her success vindicates her vision and perseverance.
The word carries a sense of triumph after struggle. Vindication happens when someone has been criticized, dismissed, or accused, and then proof emerges showing they were right. A scientist's theory might be vindicated by later experiments. A controversial decision might be vindicated by its positive results.
You can also vindicate yourself by proving your critics wrong through your actions. When you work hard to overcome doubt and succeed, your achievement vindicates your choices. Being vindicated feels powerful because it means being proven right after others doubted you.