Theorems · Theorem · order theory
MulArchimedeanClass.orderHom_top
∀ {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),
(MulArchimedeanClass.orderHom f) ⊤ = ⊤- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
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
- Top.topstatement and proof · cited by 9,680
- LinearOrderstatement and proof · cited by 8,572
- CommGroupstatement and proof · cited by 990
- OrderHomstatement · cited by 934
- map_oneproof · cited by 861
- IsOrderedMonoidstatement and proof · cited by 577
- MulArchimedeanClassstatement and proof · cited by 81
- OrderMonoidHomstatement and proof · cited by 67
- MulArchimedeanClass.mkproof · cited by 63
- MulArchimedeanClass.orderHomstatement and proof · cited by 5
- MulArchimedeanClass.orderHom_mkproof · cited by 3
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