Theorems · Definition · group theory
MonoidHomClass.toMonoidHom
{M : Type u_4} →
{N : Type u_5} →
{F : Type u_9} →
[inst : MulOne M] → [inst_1 : MulOne N] → [inst_2 : FunLike F M N] → [MonoidHomClass F M N] → F → M →* NTurn an element of a type F satisfying MonoidHomClass 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
- 294 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.
- MonoidHomstatement · cited by 3,629
- FunLikestatement and proof · cited by 2,560
- MulHomproof · cited by 299
- MonoidHomClassstatement and proof · cited by 244
- MulOnestatement and proof · cited by 65
- OneHomproof · cited by 55
- MulHom.toFunproof · cited by 36
- MulHomClass.toMulHomproof · cited by 31
- OneHomClass.toOneHomproof · cited by 2
Cited by363
Results whose statement or proof uses this declaration.
- RingHomClass.toRingHomproof · cited by 746
- MonoidWithZeroHom.ofClassproof · cited by 204
- IsUnit.mapproof · cited by 104
- Module.compHomproof · cited by 39
- Subring.mapproof · cited by 33
- Subsemiring.mapproof · cited by 29
- ZMod.unitsMapproof · cited by 24
- ClassGroup.mkproof · cited by 22
- Subring.comapproof · cited by 22
- OrderMonoidHom.compproof · cited by 20
- Subsemiring.comapproof · cited by 20
- QuotientGroup.congrstatement and proof · cited by 16
Showing the 200 most cited of 363.