Convention:Function composition

In Groupprops, the notation $$f \circ g$$ always denotes $$g$$, followed by $$f$$. In other words, if $$g:A \to B$$, and $$f:B \to C$$ are maps, then $$f \circ g$$ denotes the composite map from $$A$$ to $$C$$.

This convention for function composition also explains the corresponding convention for group action.