Theorems · Definition · ring theory
IsIdempotentElem.Corner
{R : Type u_1} → {e : R} → [inst : Semigroup R] → IsIdempotentElem e → Type u_1The corner associated to an idempotent e in a semiring without 1
is the semiring with e as 1 consisting of all element of the form e * r * e.
- Defined in
- Mathlib.RingTheory.Idempotents
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext
- Assumes
- Semigroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsIdempotentElemstatement and proof · cited by 217
- Semigroupstatement and proof · cited by 202
- Subsemigroup.cornerproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- CompleteOrthogonalIdempotents.ringEquivOfCommstatement · cited by 0
- CompleteOrthogonalIdempotents.ringEquivOfIsMulCentralstatement and proof · cited by 0