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I'm fairly certain the と particle here is the conditional form. But I could be totally wrong.

それが真実であると仮定しよう。

The translation I have for it is, "Let's suppose it is true". But it seems odd to me that と is being used conditionally. Wouldn't it transliterate to something like, "If it is true, let's suppose"?

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This と is a quotative-と, not conditional.

それが真実であると仮定しよう。
Let's assume that it is true.

A conditional-と cannot be used with (し)よう in the first place. Something like 雨が降ると家にいよう is already ungrammatical.

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The と used here is not conditional form. The usage here is defined as follows:

⑥(発話・思考を表す動詞とともに使って)発話・思考の内容を示す。(明鏡国語辞典) と is used to indicate the content of one's thought or speech when used with a verb like think, speak,etc.

それが真実であると仮定しよう。Here, と means 「それが真実である」is the content of 「仮定する」. Namely, Let's assume that [that is true].

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