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Theorems · Theorem · order theory

FiniteArchimedeanClass.val_mk

∀ {M : Type u_1} [inst : AddCommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedAddMonoid M] {a : M} (h : a ≠ 0),
  ↑(FiniteArchimedeanClass.mk a h) = ArchimedeanClass.mk a
Defined in
Mathlib.Algebra.Order.Archimedean.Class
Cited by
1 results in Mathlib
Foundations
Depth 36 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.

HahnEmbedding.ArchimedeanStrata.iSupIndep_stratum · cited by 1ArchimedeanStrata.iSupInd…AddCommGroup · cited by 12871AddCommGroupTop.top · cited by 9680Top.topLinearOrder · cited by 8572LinearOrderIsOrderedAddMonoid · cited by 1659IsOrderedAddMonoidArchimedeanClass · cited by 247ArchimedeanClassArchimedeanClass.mk · cited by 174ArchimedeanClass.mkFiniteArchimedeanClass.mk · cited by 28FiniteArchimedeanClass.mkFiniteArchimedeanClass.val_mkCITED BYCITES

Cites7

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Cited by1

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