Conclusively

This conclusively decided the matter.

The medical evidence showed conclusively that death was due to apoplexy.

The numbers of each organism varied from day to day in a way that showed conclusively the essentially trophic nature of the protozoan population.

Once the final experiment had been performed, the theory was conclusively proved.

I need not extend the subject any farther; enough has been said , and much more might be, if necessary, to prove clearly and conclusively that the odontotechny of the Greeks and Romans was advanced to a considerable degree of perfection: […]

[…] which conclusively prove the enormous superiority of the Sumerian over the Egyptian weaponsmithy.

"Go and find out who did it, before you come blaming me for it." "It's only youse crowd wot comes makin' a pigsty of the place," said Melons conclusively. "It ain't the second nor third floors wot comes makin' all manner o' mess in these basins."