Theorems · Theorem · order theory
MulArchimedeanClass.ballSubgroup_antitone
∀ {M : Type u_1} [inst : CommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedMonoid M],
Antitone MulArchimedeanClass.ballSubgroup- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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
- Subgroupstatement · cited by 3,593
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- Antitonestatement · cited by 563
- StrictMono.monotoneproof · cited by 118
- MulArchimedeanClassstatement and proof · cited by 81
- UpperSet.Ioiproof · cited by 15
- UpperSet.Ioi_strictMonoproof · cited by 4
- MulArchimedeanClass.ballSubgroupstatement · cited by 3
- MulArchimedeanClass.subgroup_antitoneproof · cited by 1
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