Theorems · Theorem · order theory
FiniteMulArchimedeanClass.mk_inv
∀ {M : Type u_1} [inst : CommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedMonoid M] {a : M} (ha : a ≠ 1),
FiniteMulArchimedeanClass.mk a⁻¹ ⋯ = FiniteMulArchimedeanClass.mk a ha- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
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
- FiniteMulArchimedeanClassstatement · cited by 21
- FiniteMulArchimedeanClass.mkstatement · cited by 14
- MulArchimedeanClass.mk_invproof · cited by 9
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