Theorems · Theorem · order theory
MulArchimedeanClass.mulArchimedean_of_mk_eq_mk
∀ {M : Type u_1} [inst : CommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedMonoid M],
(∀ (a : M), a ≠ 1 → ∀ (b : M), b ≠ 1 → MulArchimedeanClass.mk a = MulArchimedeanClass.mk b) → MulArchimedean M- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
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
- LT.lt.leproof · cited by 2,189
- pow_zeroproof · cited by 1,094
- CommGroupstatement and proof · cited by 990
- LT.lt.neproof · cited by 872
- IsOrderedMonoidstatement and proof · cited by 577
- mabsproof · cited by 148
- MulArchimedeanClassstatement · cited by 81
- MulArchimedeanClass.mkstatement and proof · cited by 63
- MulArchimedeanstatement · cited by 45
- MulArchimedeanClass.mk_eq_mkproof · cited by 6
- mabs_eq_selfproof · cited by 3
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