Theorems · Theorem · order theory
ArchimedeanClass.out_top
∀ {M : Type u_1} [inst : AddCommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedAddMonoid M], ⊤.out = 0- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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 and proof · cited by 9,680
- LinearOrderstatement and proof · cited by 8,572
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- ArchimedeanClassstatement and proof · cited by 247
- ArchimedeanClass.mk_eq_top_iffproof · cited by 7
- ArchimedeanClass.outstatement · cited by 2
- ArchimedeanClass.mk_outproof · cited by 1
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