Theorems · Theorem · order theory
ArchimedeanClass.ballAddSubgroup_top
∀ (M : Type u_1) [inst : AddCommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedAddMonoid M], ⊤.ballAddSubgroup = ⊥
- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
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
- Top.topstatement and proof · cited by 9,680
- LinearOrderstatement and proof · cited by 8,572
- Bot.botstatement and proof · cited by 4,720
- AddSubgroupstatement and proof · cited by 3,232
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- ArchimedeanClassstatement and proof · cited by 247
- UpperSetproof · cited by 245
- UpperSet.Ioiproof · cited by 15
- ArchimedeanClass.addSubgroupproof · cited by 6
- ArchimedeanClass.ballAddSubgroupstatement and proof · cited by 3
- ArchimedeanClass.addSubgroup_eq_botproof · cited by 2
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