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The phrase "a safe assumption" is correct and usable in written English.
It can be used when you want to indicate that a particular conclusion or belief is reasonable and unlikely to be wrong.
Example: "Given the weather forecast, it's a safe assumption that we will need to bring umbrellas to the picnic."
Alternatives: "a reasonable assumption" or "a sound assumption".
Exact(57)
But that's not a safe assumption.
As Stobbart's allegations suggest, this is not a safe assumption.
SECOND FRENCHMAN: That is definitely a safe assumption to make about him.
It's a safe assumption that The Good Dinosaur's convoluted genesis tested their community culture.
It's a safe assumption Georgia Tech fans don't think that anymore.
A safe assumption is that, upon choosing to become a fighter, most have a hankering to be great.
We don't know whether this was on the orders of the SVR, but it seems a safe assumption.
(c) "It's a safe assumption that Iraqis will be grateful to whoever is responsible for securing their freedom".
Since the film is five years old, it seems a safe assumption that the resemblance will have held.
It's generally a safe assumption that, in politics as in life, you can't have it both ways.
Generally, it's a safe assumption to predict that the world will be more crowded in the future.
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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