Theorems · Theorem · order theory
FiniteArchimedeanClass.addSubgroup_eq_bot
∀ (M : Type u_1) [inst : AddCommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedAddMonoid M], FiniteArchimedeanClass.addSubgroup ⊤ = ⊥
- 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
Around this declaration
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Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddCommGroupstatement and proof · cited by 12,871
- 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
- AddSubgroupstatement · cited by 3,232
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- ArchimedeanClassstatement and proof · cited by 247
- UpperSetstatement · cited by 245
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