Theorems · Theorem · order theory
MulArchimedeanClass.subgroup_antitone
∀ {M : Type u_1} [inst : CommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedMonoid M],
Antitone MulArchimedeanClass.subgroup- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- LinearOrderstatement and proof · cited by 8,572
- Subgroupstatement · cited by 3,593
- le_reflproof · cited by 2,061
- eq_or_neproof · cited by 1,117
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- Antitonestatement · cited by 563
- UpperSetstatement and proof · cited by 245
- eq_top_iffproof · cited by 236
- Ne.lt_topproof · cited by 161
- MulArchimedeanClassstatement and proof · cited by 81
Cited by1
Results whose statement or proof uses this declaration.
- MulArchimedeanClass.ballSubgroup_antitoneproof · cited by 0