Theorems · Theorem · order theory
ArchimedeanClass.ballAddSubgroup_antitone
∀ {M : Type u_1} [inst : AddCommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedAddMonoid M],
Antitone ArchimedeanClass.ballAddSubgroup- 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
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- AddSubgroupstatement · cited by 3,232
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Antitonestatement · cited by 563
- ArchimedeanClassstatement and proof · cited by 247
- StrictMono.monotoneproof · cited by 118
- UpperSet.Ioiproof · cited by 15
- UpperSet.Ioi_strictMonoproof · cited by 4
- ArchimedeanClass.ballAddSubgroupstatement · cited by 3
- ArchimedeanClass.addSubgroup_antitoneproof · cited by 1
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