Theorems · Inductive type · ring theory
NonUnitalSubsemiring
(R : Type u) → [NonUnitalNonAssocSemiring R] → Type u
A non-unital subsemiring of a non-unital semiring R is a subset s that is both an additive
submonoid and a semigroup.
- Cited by
- 201 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
- Assumes
- NonUnitalNonAssocSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NonUnitalNonAssocSemiringstatement · cited by 1,081
Cited by280
Results whose statement or proof uses this declaration.
- NonUnitalSubsemiring.toAddSubmonoidstatement and proof · cited by 56
- NonUnitalSubalgebra.toNonUnitalSubsemiringstatement · cited by 33
- NonUnitalSubsemiring.closurestatement and proof · cited by 31
- NonUnitalSubalgebra.mapproof · cited by 23
- NonUnitalSubsemiring.centerstatement · cited by 22
- NonUnitalSubsemiring.mapstatement and proof · cited by 22
- Subsemiring.centerproof · cited by 18
- NonUnitalRingHom.srangestatement · cited by 17
- NonUnitalSubring.toNonUnitalSubsemiringstatement · cited by 15
- NonUnitalSubsemiring.comapstatement and proof · cited by 14
- NonUnitalSubring.centerproof · cited by 13
- NonUnitalSubalgebra.centralizerproof · cited by 12
Showing the 200 most cited of 280.