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We found one dictionary that defines the word biequivalent:

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  1. biequivalent: Wiktionary

Definitions from Wiktionary (biequivalent)

adjective:  (mathematics, of two entities A and B) Both left equivalent and right equivalent; Having the property that there exists a pair of mappings M₁ (A->B) and M₂ (B->A) such that M₁M₂(A) is equivalent to applying the unity operator to A and M₂ M₁(B) is equivalent to applying the unity operator to B.
adjective:  (chemistry) Capable of replacing a bond formed by H₂ to any molecule.

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