Theorems · Definition · ring theory
NonUnitalSubsemiring.corner
{R : Type u_1} → R → [inst : NonUnitalSemiring R] → NonUnitalSubsemiring RThe corner associated to an element e in a semiring without 1
is the subsemiring without 1 of all elements 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
- NonUnitalSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NonUnitalSemiringstatement and proof · cited by 339
- Subsemigroupproof · cited by 323
- NonUnitalSubsemiringstatement · cited by 201
- Subsemigroup.carrierproof · cited by 160
- Subsemigroup.cornerproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- NonUnitalRing.cornerproof · cited by 0