Theorems · Definition · order theory
OrderRingHom.toOrderAddMonoidHom
{α : Type u_2} →
{β : Type u_3} →
[inst : NonAssocSemiring α] →
[inst_1 : Preorder α] → [inst_2 : NonAssocSemiring β] → [inst_3 : Preorder β] → α →+*o β → α →+o βReinterpret an ordered ring homomorphism as an ordered additive monoid homomorphism.
- Defined in
- Mathlib.Algebra.Order.Hom.Ring
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 13 from the axioms · 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.
- Preorderstatement and proof · cited by 7,952
- NonAssocSemiringstatement and proof · cited by 805
- MonoidHom.toOneHomproof · cited by 132
- RingHom.toMonoidHomproof · cited by 132
- OrderRingHomstatement and proof · cited by 132
- OneHom.toFunproof · cited by 132
- OrderAddMonoidHomstatement · cited by 80
- OrderRingHom.monotone'proof · cited by 10
- OrderRingHom.toRingHomproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- OrderRingHom.compproof · cited by 15
- ArchimedeanClass.mk_map_of_archimedean'proof · cited by 7
- OrderRingHom.copyproof · cited by 2
- OrderRingHom.toOrderAddMonoidHom_eq_coestatement · cited by 0