Equivalence Between Infinity Categories

An equivalence between infinity category consists of:

• A pair of infinity categories $A,B$
• A pair of functors $f:B\to A$, $g:A\to B$
• A pair of natural isomorphisms $\eta :i{d}_A\cong gf$, $\epsilon :fg\cong i{d}_B$ Write $A\simeq B$.