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The phrase "Based on this proposition" is correct and usable in written English
You can use it when introducing a conclusion, argument, or decision that is derived from a specific proposition or statement.
Example: "Based on this proposition, we can conclude that the proposed solution is viable."
Alternatives: "According to this proposition" or "In light of this proposition."
Exact(4)
Based on this proposition, a possible mechanism for the LSCF destabilization and SrZrO3 formation is detailed.
Based on this proposition, we propose three points offset (TPO) strategy to approximate the offset surface.
Based on this proposition, the ICA algorithm in [25] searches for an output vector with pairwise independent components.
Based on this proposition, the critical, ordinary and redundant links could be correctively classified and avoid the enumeration of all the maximum matchings.
Similar(55)
This is based on the proposition that it is easier to imagine rotating ones own hands or tools.
Virtually all of them seem to be based on the proposition that one of the really big problems we have in this country is a lack of weaponry.
This is based on the proposition that the orthoses should minimise the patient's pain during function [ 34].
This chapter is based on the proposition that the role of theory in the scientific enterprise must be periodically entertained, thoroughly examined, and explicitly reaffirmed by scientific practitioners.
This summit is based on the proposition that it is both economically and politically insane for there not be an alternative to the conservative agenda, misnamed "cut and grow," which would have the federal government fold its arms and back away as the job market continues to stagnate.
This paper is based on the proposition that patients do choose behaviors based on maximization of utility.
And self-rule was not worth this terrible expenditure unless it, in turn, was based on "the proposition that all men are created equal".
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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