isomorphism

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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

Context