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License: GNU General Public License v3.0
Formal Topology in Univalent Foundations (WIP).
License: GNU General Public License v3.0
Show that a locale
A
is spatial iff each element ofA
can be expressed as a meet of prime elements. Show also that ifA
andB
are spatial locales andf* : B -> A
is left adjoint tof_* : A -> B
thenf^*
preserves finite meets (i.e. is a frame homomorphism) ifff_*
preserves prime elements.
Stone Spaces, pg. 12:
Verify that a subset of a Boolean algebra
A
is an ideal (prime ideal) ofA
considered as a lattice
iff it is an ideal (prime ideal) ofA
considered as a ring.
The Level
module is imported in various places, creating a dependency to the standard library. This can and should be circumvented by using the level stuff provided by cubical
.
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