Theorems · Definition · ring theory
NonUnitalSubringClass.subtype
{R : Type u} →
{S : Type v} →
[inst : NonUnitalNonAssocRing R] → [inst_1 : SetLike S R] → [hSR : NonUnitalSubringClass S R] → (s : S) → ↥s →ₙ+* RThe natural non-unital ring hom from a non-unital subring of a non-unital ring R to R.
- Defined in
- Mathlib.RingTheory.NonUnitalSubring.Defs
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidHomproof · cited by 3,230
- SetLikestatement and proof · cited by 1,084
- NonUnitalNonAssocRingstatement and proof · cited by 354
- NonUnitalRingHomstatement and proof · cited by 157
- NonUnitalSubringClassstatement and proof · cited by 13
- NonUnitalSubsemiringClass.subtypeproof · cited by 5
- AddSubgroupClass.subtypeproof · cited by 4
Cited by8
Results whose statement or proof uses this declaration.
- RingEquiv.ofLeftInverse'proof · cited by 2
- NonUnitalSubringClass.coe_subtypestatement · cited by 0
- NonUnitalSubringClass.subtype_applystatement · cited by 0
- NonUnitalSubringClass.subtype_injectivestatement · cited by 0
- NonUnitalSubring.inclusionproof · cited by 0
- NonUnitalSubalgebra.toSubring_subtypestatement · cited by 0
- NonUnitalStarSubalgebra.toSubring_subtypestatement · cited by 0
- NonUnitalSubring.range_subtypestatement and proof · cited by 0