Add discardable fractions camera
Adds the discardable fractions camera. This is a generalisation of the fractional camera where elements can represent both ownership of a fraction and the knowledge that a fraction has been discarded. One can make a frame preserving update from owning a fraction q
to knowing that q
has been discarded. The core is the identity function for the knowledge that q
has been discarded making ownership of such an element persistent.
Similarly to how with the authorative camera every element can be written as ● a ⋅ ◯ b
and to how one use this to never write elements as pairs directly, every element of dfrac
can be written as DfracOwn q ⋅ DfracDiscarded p
and I imagine that one would use this to never use DfracBoth
. That's is why none of the lemmas mention DfracBoth
.