Theorems · Theorem · order theory
MulArchimedeanClass.map_mk_eq
∀ {M : Type u_1} [inst : CommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedMonoid M] {a b : M} {N : Type u_2}
[inst_3 : CommGroup N] [inst_4 : LinearOrder N] [inst_5 : IsOrderedMonoid N] (f : M →*o N),
MulArchimedeanClass.mk a = MulArchimedeanClass.mk b → MulArchimedeanClass.mk (f a) = MulArchimedeanClass.mk (f b)- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- LinearOrderstatement and proof · cited by 8,572
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- MulArchimedeanClassstatement and proof · cited by 81
- OrderMonoidHomstatement and proof · cited by 67
- MulArchimedeanClass.mkstatement and proof · cited by 63
- MulArchimedeanClass.orderHomproof · cited by 5
- MulArchimedeanClass.orderHom_mkproof · cited by 3
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