Theorems · Theorem · order theory
ArchimedeanClass.closedBallAddSubgroup_top
∀ (M : Type u_1) [inst : AddCommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedAddMonoid M], ⊤.closedBallAddSubgroup = ⊥
- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 0 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.
Cites15
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
- Bot.botstatement · cited by 4,720
- AddSubgroupstatement · cited by 3,232
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- ArchimedeanClassstatement · cited by 247
- top_le_iffproof · cited by 175
- AddSubgroup.extproof · cited by 75
- AddSubgroup.mem_botproof · cited by 18
- ArchimedeanClass.mk_eq_top_iffproof · cited by 7
- UpperSet.mem_Ici_iffproof · cited by 4
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