Theorems · Definition · ring theory
NonUnitalSubring.toNonUnitalSubsemiring
{R : Type u} → [inst : NonUnitalNonAssocRing R] → NonUnitalSubring R → NonUnitalSubsemiring RReinterpret a NonUnitalSubring as a NonUnitalSubsemiring.
- Defined in
- Mathlib.RingTheory.NonUnitalSubring.Defs
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- NonUnitalNonAssocRing
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.
- NonUnitalNonAssocRingstatement and proof · cited by 354
- NonUnitalSubsemiringstatement · cited by 201
- NonUnitalSubringstatement and proof · cited by 185
Cited by22
Results whose statement or proof uses this declaration.
- NonUnitalSubring.mapproof · cited by 19
- NonUnitalSubring.comapproof · cited by 15
- NonUnitalSubring.toAddSubgroupproof · cited by 10
- NonUnitalSubring.toSubsemigroupproof · cited by 8
- NonUnitalSubring.toSubringproof · cited by 2
- NonUnitalSubring.copyproof · cited by 2
- NonUnitalSubring.toNonUnitalSubsemiring_strictMonostatement · cited by 1
- NonUnitalSubring.map_mapproof · cited by 1
- nonUnitalSubalgebraOfNonUnitalSubringproof · cited by 1
- NonUnitalSubring.map_idproof · cited by 0
- NonUnitalSubring.toNonUnitalSubsemiring_eq_topstatement · cited by 0
- NonUnitalSubring.toNonUnitalSubsemiring_injectivestatement and proof · cited by 0