Theorems · Theorem · order theory
FiniteMulArchimedeanClass.subgroup_eq_bot
∀ (M : Type u_1) [inst : CommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedMonoid M], FiniteMulArchimedeanClass.subgroup ⊤ = ⊥
- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Top.topstatement and proof · cited by 9,680
- LinearOrderstatement and proof · cited by 8,572
- SetLike.coeproof · cited by 8,199
- Set.ofPredproof · cited by 6,101
- Set.preimageproof · cited by 4,946
- Bot.botstatement · cited by 4,720
- Subgroupstatement · cited by 3,593
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- UpperSetstatement · cited by 245
- Subgroup.extproof · cited by 108
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