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"deduce to" is a correct and usable phrase in written English.
It means to infer or conclude something based on logical reasoning or evidence. Example: "After examining all the clues, the detective was able to deduce to the identity of the culprit."
Exact(6)
That room I remember as almost empty, but for a pair of monumental dark sofas of a kind I had never seen before, all angles and curves, sinister and dexterous, which I thrilled to deduce to be Hadid prototypes.
we deduce to the inequality (2.5).
Theorem 8.1 can deduce to the following result.
Inequality (4.6) can deduce to the following one which is from the study by Baricz in [21]: (4.9).
We deduce to reorder transaction execution in order of contention and further propose two mechanisms to extract reordering blocks and identify the degree of contention of objects.
When X = R, m = 1, s = 0 and M k ( x ) = | x | for all x ∈ [ 0, ∞ ) and k ≥ 1, the above spaces deduce to the famous and very useful spaces c, c 0 and ℓ ∞.
Similar(54)
"There was no disguising the extent," Winder deduces, "to which Britain's Muslims were lagging on nearly every material indicator".
In the case of, is deduced to.
Empirical equations were deduced to generalize the calculation procedure.
Then, three subproblems have been deduced to get the solutions.
The Poincaré inequality can be deduced to differential forms.
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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