Equiall means that the match is both equievo and equilevel. That means that all pokemon used are considered to be at the same level as the highest level trainers trainer level, except for uplevel pokemon which are considered one level higher. All pokemon are also at whatever evolutionary stage they'd be at that level. So if you were fighting a level two trainer, all your level one pokemon would be considered level 2 for the battle, and your Bulbasaur, for example, would be an Ivysaur if you wanted it to be because that's the evolutionary stage it would be in at level two. The level up only counts in that battle. Some battles are equilevel but not equievo, meaning that although they may be considered a higher level, they are in whatever evolutionary form they'd normally be in, rather than the one they'd be in the the equilevel.
Just for future reference.