Theorems · Definition · group theory
AddMonoidHomClass.toAddMonoidHom
{M : Type u_4} →
{N : Type u_5} →
{F : Type u_9} →
[inst : AddZero M] → [inst_1 : AddZero N] → [inst_2 : FunLike F M N] → [AddMonoidHomClass F M N] → F → M →+ NTurn an element of a type F satisfying AddMonoidHomClass F M N into an
actual MonoidHom. This is declared as the default coercion from F to M →+ N.
- Defined in
- Mathlib.Algebra.Group.Hom.Defs
- Cited by
- 232 results in Mathlib
- Foundations
- Depth 7 from the axioms, rests on 30 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidHomstatement · cited by 3,230
- FunLikestatement and proof · cited by 2,560
- AddHomproof · cited by 294
- AddMonoidHomClassstatement and proof · cited by 252
- AddHom.toFunproof · cited by 168
- ZeroHomproof · cited by 161
- AddZerostatement and proof · cited by 87
- AddHomClass.toAddHomproof · cited by 29
- ZeroHomClass.toZeroHomproof · cited by 3
Cited by295
Results whose statement or proof uses this declaration.
- RingHomClass.toRingHomproof · cited by 746
- Subring.mapproof · cited by 33
- Polynomial.toLaurentproof · cited by 29
- Subsemiring.mapproof · cited by 29
- MonoidAlgebra.mapRingHomproof · cited by 27
- NonUnitalRingHomClass.toNonUnitalRingHomproof · cited by 26
- Subring.comapproof · cited by 22
- LinearMap.eqLocusproof · cited by 22
- NonUnitalSubsemiring.mapproof · cited by 22
- Subsemiring.comapproof · cited by 20
- NonUnitalSubring.mapproof · cited by 19
- OrderAddMonoidHom.compproof · cited by 19
Showing the 200 most cited of 295.