Theorems · Theorem · order theory
FiniteArchimedeanClass.ballAddSubgroup_strictAnti
∀ {M : Type u_1} [inst : AddCommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedAddMonoid M],
StrictAnti FiniteArchimedeanClass.ballAddSubgroup- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- Top.topstatement · cited by 9,680
- LinearOrderstatement and proof · cited by 8,572
- AddSubgroupstatement · cited by 3,232
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- ArchimedeanClassstatement · cited by 247
- StrictAntistatement · cited by 204
- FiniteArchimedeanClassstatement and proof · cited by 100
- UpperSet.Ioiproof · cited by 15
- UpperSet.Ioi_strictMonoproof · cited by 4
- FiniteArchimedeanClass.ballAddSubgroupstatement · cited by 3
- FiniteArchimedeanClass.addSubgroup_strictAntiproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- FiniteArchimedeanClass.ball_strictAntiproof · cited by 3