Theorems · Theorem · order theory
MulArchimedeanClass.subgroup_strictAntiOn
∀ {M : Type u_1} [inst : CommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedMonoid M],
StrictAntiOn MulArchimedeanClass.subgroup (Set.Iio ⊤)- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 1 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.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Top.topstatement and proof · cited by 9,680
- LinearOrderstatement and proof · cited by 8,572
- SetLike.coeproof · cited by 8,199
- Subgroupstatement · cited by 3,593
- LT.lt.leproof · cited by 2,189
- Set.Iiostatement and proof · cited by 1,166
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- le_of_eqproof · cited by 366
- UpperSetstatement and proof · cited by 245
- StrictAntiOnstatement · cited by 120
Cited by1
Results whose statement or proof uses this declaration.
- MulArchimedeanClass.subgroup_antitoneproof · cited by 1