Theorems · Theorem · order theory
ArchimedeanClass.orderHom_zero
∀ {R : Type u_1} [inst : LinearOrder R] [inst_1 : CommRing R] [inst_2 : IsStrictOrderedRing R] {S : Type u_3}
[inst_3 : LinearOrder S] [inst_4 : CommRing S] [inst_5 : IsStrictOrderedRing S] (f : S →+o R),
(ArchimedeanClass.orderHom f) 0 = ArchimedeanClass.mk (f 1)- Defined in
- Mathlib.Algebra.Order.Ring.Archimedean
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- LinearOrderstatement and proof · cited by 8,572
- IsStrictOrderedRingstatement and proof · cited by 2,490
- OrderHomstatement · cited by 934
- ArchimedeanClassstatement and proof · cited by 247
- ArchimedeanClass.mkstatement and proof · cited by 174
- OrderAddMonoidHomstatement and proof · cited by 80
- ArchimedeanClass.orderHomstatement and proof · cited by 8
- ArchimedeanClass.orderHom_mkproof · cited by 5
- ArchimedeanClass.mk_oneproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ArchimedeanClass.mk_map_of_archimedeanproof · cited by 2