according to the truth / in fact/truly/truthfully.
According to the truth, it must be said that..., the truth is that...
("Only about this can it be said that, in fact, the first among the third is valid to testify" - Hanukat HaTorah, Bamidbar, Chapter 7)
Translation
Expression (Hebrew)
אֱלִיבָּא דְּאֱמֶת
Definition (Hebrew)
עַל פִּי הָאֱמֶת יֵשׁ לוֹמַר ש..., הָאֱמֶת הִיא שֶׁ...
("רַק עַל זֶה יֵשׁ לוֹמַר דָּהָרִי אַלִּבָּא דֶּאֱמֶת הָרִאשׁוֹן בַּשְּׁלִישִׁי כָּשֵׁר לְהָעִיד"- חֲנֻכַּת הַתּוֹרָה בְּמִדְבַּר פֶּרֶק ז)