  We prove that consistency of the holographic dictionary implies a hallmark
prediction of the weak cosmic censorship conjecture: that in classical gravity,
trapped surfaces lie behind event horizons. In particular, the existence of a
trapped surface implies the existence of an event horizon, and that furthermore
this event horizon must be outside of the trapped surface. More precisely, we
show that the formation of event horizons outside of a strong gravity region is
a direct consequence of causal wedge inclusion, which is required by
entanglement wedge reconstruction. We make few assumptions beyond the absence
of evaporating singularities in strictly classical gravity. We comment on the
implication that spacetimes with naked trapped surfaces do not admit a
holographic dual, note a possible application to holographic complexity, and
speculate on the dual CFT interpretation of a trapped surface.
