Theorems · Definition · commutative algebra
SubringClass.subtype
{R : Type u} →
{S : Type v} → [inst : NonAssocRing R] → [inst_1 : SetLike S R] → [hSR : SubringClass S R] → (s : S) → ↥s →+* RThe natural ring hom from a subring of ring R to R.
- Defined in
- Mathlib.Algebra.Ring.Subring.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHomstatement · cited by 10,189
- MonoidHomproof · cited by 3,629
- AddMonoidHomproof · cited by 3,230
- SetLikestatement and proof · cited by 1,084
- NonAssocRingstatement and proof · cited by 483
- SubringClassstatement and proof · cited by 20
- SubmonoidClass.subtypeproof · cited by 11
- AddSubgroupClass.subtypeproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- SubringClass.subtype_applystatement · cited by 0
- SubringClass.coe_subtypestatement · cited by 0
- SubringClass.subtype_injectivestatement · cited by 0