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The phrase "avoid a contradiction with" is correct and usable in written English.
It can be used when discussing the need to prevent conflicting statements or ideas in a text or argument.
Example: "To maintain clarity in your argument, you should avoid a contradiction with your previous statements."
Alternatives: "prevent a conflict with" or "steer clear of a contradiction with".
Exact(1)
To avoid a contradiction with Lemma 2.4, we get n h ( z ) + h ( z + c ) − h 1 ( z ) and ( n + 1 ) h ( z ) − h 1 ( z ) are constants.
Similar(59)
Einstein points to Louis de Broglie's pilot wave investigations as a possible direction to pursue if one is looking for an account of individual processes that avoids a "contradiction with the postulate of relativity".
Thus only by including a "no branching" clause can this criterion of identity avoid a crippling contradiction.
Hence, a contradiction with (3.6).
This is a contradiction with inequality (3.3).
A contradiction with δ < 4 C / ε.
which implies, a contradiction with the assumption.
a contradiction with the characterization of.
It is a contradiction with (24).
It is a contradiction with and.
which is a contradiction with (3.17).
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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