confirm
prove
authenticate
validate
substantiate
corroborate
attest
From Merriam-Webster.
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Verify, attest.
decide, settle on, conclude, resolve, establish, agree on, verify.
There are several synonyms for the word aver. Some of these include: affirm, assert, avouch, claim, contend, insist, justify, predicate, proclaim, prove, state, and verify.
A synonym for temper is temperament.
A synonym for varied is diverse.