Theorems · Theorem · order theory
MulArchimedeanClass.ballSubgroup_top
∀ (M : Type u_1) [inst : CommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedMonoid M], ⊤.ballSubgroup = ⊥
- 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
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- LinearOrderstatement and proof · cited by 8,572
- Bot.botstatement and proof · cited by 4,720
- Subgroupstatement and proof · cited by 3,593
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- UpperSetproof · cited by 245
- MulArchimedeanClassstatement and proof · cited by 81
- UpperSet.Ioiproof · cited by 15
- MulArchimedeanClass.subgroupproof · cited by 6
- MulArchimedeanClass.ballSubgroupstatement and proof · cited by 3
- UpperSet.Ioi_topproof · cited by 2
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