Theorems · Definition · ring theory
RingHomClass.toRingHom
{F : Type u_1} →
{α : Type u_2} →
{β : Type u_3} →
[inst : FunLike F α β] →
{x : NonAssocSemiring α} → {x_1 : NonAssocSemiring β} → [RingHomClass F α β] → F → α →+* βTurn an element of a type F satisfying RingHomClass F α β into an actual
RingHom. This is declared as the default coercion from F to α →+* β.
- Defined in
- Mathlib.Algebra.Ring.Hom.Defs
- Cited by
- 746 results in Mathlib
- Foundations
- Depth 14 from the axioms, rests on 126 definitions · uses no axioms
- Assumes
- FunLikeRingHomClass
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
- FunLikestatement and proof · cited by 2,560
- NonAssocSemiringstatement and proof · cited by 805
- MonoidHomClass.toMonoidHomproof · cited by 294
- AddMonoidHomClass.toAddMonoidHomproof · cited by 232
- RingHomClassstatement and proof · cited by 193
Cited by852
Results whose statement or proof uses this declaration.
- AlgHom.compproof · cited by 501
- Polynomial.aeval_Xproof · cited by 120
- Subalgebra.mapproof · cited by 90
- AlgHom.restrictScalarsproof · cited by 83
- Polynomial.aeval_Cproof · cited by 81
- AlgHom.comp_algebraMapstatement · cited by 63
- AlgHom.fieldRangeproof · cited by 57
- RingHom.coe_coestatement · cited by 51
- map_intCastproof · cited by 45
- AlgEquiv.ofBijectiveproof · cited by 34
- NumberField.ComplexEmbedding.IsConjproof · cited by 24
- NumberField.FinitePlace.embeddingproof · cited by 24
Showing the 200 most cited of 852.