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Theorems · Theorem · order theory

ArchimedeanClass.mk_zero

∀ {M : Type u_1} [inst : AddCommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedAddMonoid M],
  ArchimedeanClass.mk 0 = ⊤
Defined in
Mathlib.Algebra.Order.Archimedean.Class
Cited by
1 results in Mathlib
Foundations
Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommGroupLinearOrderIsOrderedAddMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ArchimedeanClass.orderHom_top · cited by 0ArchimedeanClass.orderHom…AddCommGroup · cited by 12871AddCommGroupTop.top · cited by 9680Top.topLinearOrder · cited by 8572LinearOrderIsOrderedAddMonoid · cited by 1659IsOrderedAddMonoidArchimedeanClass · cited by 247ArchimedeanClassArchimedeanClass.mk · cited by 174ArchimedeanClass.mkArchimedeanClass.mk_zeroCITED BYCITES

Cites6

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Cited by1

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