Effective epimorphisms in LightProfinite
#
This file proves that EffectiveEpi
and Surjective
are equivalent in LightProfinite
.
As a consequence we deduce from the material in
Mathlib/Topology/Category/CompHausLike/EffectiveEpi.lean
that LightProfinite
is Preregular
and Precoherent
.