Theorems · Definition · group theory
AddMonoidHom.toZeroHom
{M : Type u_10} → {N : Type u_11} → [inst : AddZero M] → [inst_1 : AddZero N] → (M →+ N) → ZeroHom M N- Defined in
- Mathlib.Algebra.Group.Hom.Defs
- Cited by
- 61 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidHomstatement and proof · cited by 3,230
- ZeroHomstatement · cited by 161
- AddZerostatement and proof · cited by 87
Cited by176
Results whose statement or proof uses this declaration.
- Algebra.TensorProduct.includeRightproof · cited by 165
- Finsupp.lsingleproof · cited by 75
- TensorProduct.liftproof · cited by 59
- AddMonoidHom.map_zeroproof · cited by 47
- DFinsupp.sumAddHomproof · cited by 38
- Submodule.liftQproof · cited by 36
- Algebra.TensorProduct.includeLeftRingHomproof · cited by 36
- Module.DirectLimit.ofproof · cited by 35
- LinearMap.mulLeftproof · cited by 34
- PiTensorProduct.liftproof · cited by 30
- LinearMap.mulRightproof · cited by 24
- Finsupp.lapplyproof · cited by 19