Isomorph -------- isomorph cats isomorphism: \\(f:A→B\\) which can be "undone" _i.e._ \\(∃g:B→A\\), \\(g∘f=id\_A\\) & \\(f∘g=id\_B\\) in this case, \\(A\\) & \\(B\\) are isomorphic. A≌B means A and B are essentially the same. In Category Theory, = is in fact mostly . For example in commutative diagrams.