Theorems · Definition · group theory
MulHomClass.toMulHom
{M : Type u_4} →
{N : Type u_5} →
{F : Type u_9} → [inst : Mul M] → [inst_1 : Mul N] → [inst_2 : FunLike F M N] → [MulHomClass F M N] → F → M →ₙ* NTurn an element of a type F satisfying MulHomClass F M N into an actual
MulHom. This is declared as the default coercion from F to M →ₙ* N.
- Defined in
- Mathlib.Algebra.Group.Hom.Defs
- Cited by
- 31 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- MulMulFunLikeMulHomClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- MulHomstatement · cited by 299
- MulHomClassstatement and proof · cited by 73
- MulHomClass.map_mulproof · cited by 1
Cited by50
Results whose statement or proof uses this declaration.
- MonoidHomClass.toMonoidHomproof · cited by 294
- MulEquivClass.toMulEquivproof · cited by 57
- NonUnitalRingHomClass.toNonUnitalRingHomproof · cited by 26
- NonUnitalSubsemiring.mapproof · cited by 22
- NonUnitalAlgHom.compproof · cited by 21
- NonUnitalSubring.mapproof · cited by 19
- NonUnitalSubring.comapproof · cited by 15
- NonUnitalSubsemiring.comapproof · cited by 14
- NonUnitalRingHom.prodproof · cited by 6
- AbsoluteValue.compproof · cited by 3
- NonUnitalRingHom.eqLocusproof · cited by 3
- QuasispectrumRestricts.cfcproof · cited by 2