Theorems · Theorem · order theory
MulArchimedeanClass.mk_eq_mk_of_mulArchimedean
∀ {M : Type u_1} [inst : CommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedMonoid M] {a b : M}
[MulArchimedean M], a ≠ 1 → b ≠ 1 → MulArchimedeanClass.mk a = MulArchimedeanClass.mk b- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, 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.
- LinearOrderstatement and proof · cited by 8,572
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- mabsproof · cited by 148
- MulArchimedeanClassstatement · cited by 81
- MulArchimedeanClass.mkstatement · cited by 63
- MulArchimedeanstatement and proof · cited by 45
- MulArchimedeanClass.mk_eq_mkproof · cited by 6
- MulArchimedean.archproof · cited by 5
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