Theorems · Theorem · group theory
LinearOrderedCommGroup.genLTOne_eq_of_top
∀ (G : Type u_1) [inst : CommGroup G] [inst_1 : LinearOrder G] [inst_2 : IsOrderedMonoid G] [inst_3 : Nontrivial G] [inst_4 : IsCyclic G], LinearOrderedCommGroup.genLTOne G = LinearOrderedCommGroup.Subgroup.genLTOne ⊤
- Defined in
- Mathlib.Algebra.Order.Group.Cyclic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- LinearOrderstatement and proof · cited by 8,572
- Subgroupstatement · cited by 3,593
- Nontrivialstatement and proof · cited by 2,416
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- IsCyclicstatement and proof · cited by 122
- LinearOrderedCommGroup.Subgroup.genLTOnestatement · cited by 12
- LinearOrderedCommGroup.genLTOnestatement · cited by 2
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