on the supposition that

idiom

Definition of on the supposition that

: based on the belief without actual proof that (something is so) : based on the assumption that (something is so) Her decision was made on the supposition that we would all agree.

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“On the supposition that.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/on%20the%20supposition%20that. Accessed 24 Nov. 2020.

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