Full Idea
If we say that A and B are 'interderivable' from one another (that is, A |- B and B |- A), then we may write A -||- B.
Gist of Idea
If A and B are 'interderivable' from one another we may write A -||- B
Source
E.J. Lemmon (Beginning Logic [1965], 1.5)
Book Reference
Lemmon,E.J.: 'Beginning Logic' [Nelson 1979], p.34