Commit 2025-07-31 05:15 e5b94b53
View on Github →feat(Algebra/Ring/Idempotent): subtraction lemmas for idempotents and star projections (#25910)
This allows us to use subtraction with idempotents and star projections.
For idempotents p,q
, q - p
is idempotent when p * q = p = q * p
.
For star projections p,q
, q - p
is a star projection when either p * q = p
or q * p = p
. In a star-ordered ring, when p * q = p
or q * p = p
we get p ≤ q
.