# biequivalent

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## English[edit]

### Etymology[edit]

*bi-* + *equivalent*

### Adjective[edit]

**biequivalent** (*not comparable*)

- (mathematics, of two entities A and B) Both left equivalent and right equivalent; Having the property that there exists a pair of mappings M
_{1}(A->B) and M_{2}(B->A) such that M_{1}M_{2}(A) is equivalent to applying the unity operator to A and M_{2}M_{1}(B) is equivalent to applying the unity operator to B.**2016**, Michael Shulman, “Contravariance through enrichment”, in arXiv^{[1]}:- We define strict and weak duality involutions on 2-categories, and prove a coherence theorem that every bicategory with a weak duality involution is
**biequivalent**to a 2-category with a strict duality involution.

- We define strict and weak duality involutions on 2-categories, and prove a coherence theorem that every bicategory with a weak duality involution is

- (chemistry) Capable of replacing a bond formed by H
_{2}to any molecule.**1876**, John Forbes Royle & John Harley, Royle's Manual of Materia Medica and Therapeutics:- This is chloride of ammomium, in which 2 atoms of hydrogen are displaced by the
**biequivalent**atom of mercury.

- This is chloride of ammomium, in which 2 atoms of hydrogen are displaced by the