Isomorphism
Collection
context | $A,B\in\mathrm{Ob}_{\bf C}$ |
definiendum | $f$ in $A\cong B$ |
inclusion | $f:{\bf C}[A,B]$ |
exists | $f^{-1}:{\bf C}[B,A]$ |
postulate | $f^{-1}\circ f=\mathrm{id}_A$ |
postulate | $f\circ f^{-1}=\mathrm{id}_B$ |
Reference
Wikipedia: Isomorphism, Automorphism