Theorems · Definition · ring theory
NonUnitalRingHom.toAddMonoidHom
{α : Type u_5} →
{β : Type u_6} → [inst : NonUnitalNonAssocSemiring α] → [inst_1 : NonUnitalNonAssocSemiring β] → (α →ₙ+* β) → α →+ βReinterpret a non-unital ring homomorphism f : α →ₙ+* β as an additive
monoid homomorphism α →+ β. The simp-normal form is (f : α →+ β).
- Defined in
- Mathlib.Algebra.Ring.Hom.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidHomstatement · cited by 3,230
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- NonUnitalRingHomstatement and proof · cited by 157
- MulHom.toFunproof · cited by 36
- NonUnitalRingHom.toMulHomproof · cited by 15
- NonUnitalRingHom.map_add'proof · cited by 1
- NonUnitalRingHom.map_zero'proof · cited by 1
Cited by9
Results whose statement or proof uses this declaration.
- NonUnitalRingHom.compproof · cited by 38
- NonUnitalRingHom.piproof · cited by 4
- NonUnitalRingHom.copyproof · cited by 2
- NonUnitalRingHom.opproof · cited by 2
- NonUnitalRingHom.compLeftproof · cited by 1
- NonUnitalRingHom.fromOppositeproof · cited by 1
- NonUnitalRingHom.op_apply_applystatement · cited by 0
- NonUnitalRingHom.op_symm_apply_applystatement · cited by 0
- NonUnitalRingHom.coe_toAddMonoidHomstatement · cited by 0