Did I just blow a transformer?

I have a 3-spotlight installation with a 12V transformer.

Output of the transformer is 12V max 5A and max 60w.
Each of the spotlights is a 20w halogen bulb.

Recently I replaced one, and didn't notice I put in a 50w bulb.

After few minutes all the lamps went dark.

I realized my mistake. Thought I blew the fuse on the transformer, (it says T6.3A on the fuse), but the fuse is good.

So did I burn up the tranformer and not the fuse by installing the 50w bulb?