Theorems · Theorem · order theory
MulArchimedeanClass.orderHom_mk
∀ {M : Type u_1} [inst : CommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedMonoid M] {N : Type u_2}
[inst_3 : CommGroup N] [inst_4 : LinearOrder N] [inst_5 : IsOrderedMonoid N] (f : M →*o N) (a : M),
(MulArchimedeanClass.orderHom f) (MulArchimedeanClass.mk a) = MulArchimedeanClass.mk (f a)- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- DFunLike.coestatement · cited by 62,936
- LinearOrderstatement and proof · cited by 8,572
- CommGroupstatement and proof · cited by 990
- OrderHomstatement · cited by 934
- IsOrderedMonoidstatement and proof · cited by 577
- MulArchimedeanClassstatement · cited by 81
- OrderMonoidHomstatement and proof · cited by 67
- MulArchimedeanClass.mkstatement · cited by 63
- MulArchimedeanClass.orderHomstatement · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- MulArchimedeanClass.map_mk_eqproof · cited by 0
- MulArchimedeanClass.map_mk_leproof · cited by 0
- MulArchimedeanClass.orderHom_topproof · cited by 0