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The phrase "ample proof that" is correct and usable in written English.
You can use it when you want to indicate that there is sufficient evidence to support a claim or argument.
Example: "The research provided ample proof that climate change is accelerating at an alarming rate."
Alternatives: "sufficient evidence that" or "plenty of evidence that".
Exact(41)
And events since have given more than ample proof that we were right to do so.
In fact, considering a little movie called The Jazz Singer, there's ample proof that it can be groundbreaking.
Prosecutors said they had ample proof that Vaccari knew the money was raised from bribes and kickbacks.
Last week provided ample proof that the markets have more in common with "Alice in Wonderland" than the real world.
A skim through his journals will provide ample proof that he was a racist, anti-Semitic, misogynist reactionary; but that is the trouble with skimming.
Both poems, written during the period 1475 85, give ample proof that Thai writers, using Sanskrit, Khmer, and Burmese models, could nonetheless produce a truly Thai work.
Similar(18)
The contrasting scorelines of this series and the last provide ample proof of that.
But beyond the ridicule they're still very much a force to be reckoned with and the hostage taking success they've had and continue to have with the GOP is ample proof of that.
It is madness and there is ample proof here that the war on drugs does not work.
He also said he had ample in-house proof that the system was extremely easy to use.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com