Full Idea
The symbol ||- is used for the 'forcing' relation, as in 'Γ ||- P', which means that P is true in world Γ.
Clarification
[There is actually no space between the second vertical line and the horizontal line]
Gist of Idea
The symbol ||- is the 'forcing' relation; 'Γ ||- P' means that P is true in world Γ
Source
M Fitting/R Mendelsohn (First-Order Modal Logic [1998], 1.6)
Book Reference
Fitting,M/Mendelsohn,R: 'First-Order Modal Logic' [Synthese 1998], p.12