Theorems · Theorem · order theory
ArchimedeanClass.orderHom_top
∀ {M : Type u_1} [inst : AddCommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedAddMonoid M] {N : Type u_2}
[inst_3 : AddCommGroup N] [inst_4 : LinearOrder N] [inst_5 : IsOrderedAddMonoid N] (f : M →+o N),
(ArchimedeanClass.orderHom f) ⊤ = ⊤- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- AddCommGroupstatement and proof · cited by 12,871
- Top.topstatement and proof · cited by 9,680
- LinearOrderstatement and proof · cited by 8,572
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- map_zeroproof · cited by 1,614
- OrderHomstatement · cited by 934
- ArchimedeanClassstatement and proof · cited by 247
- ArchimedeanClass.mkproof · cited by 174
- OrderAddMonoidHomstatement and proof · cited by 80
- ArchimedeanClass.orderHomstatement and proof · cited by 8
- ArchimedeanClass.orderHom_mkproof · cited by 5
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