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Theorems · Definition · order theory

ArchimedeanClass.ballAddSubgroup

{M : Type u_1} →
  [inst : AddCommGroup M] →
    [inst_1 : LinearOrder M] → [inst_2 : IsOrderedAddMonoid M] → ArchimedeanClass M → AddSubgroup M

An open ball defined by ArchimedeanClass.addSubgroup of UpperSet.Ioi c. For c = ⊤, we assign the junk value .

Defined in
Mathlib.Algebra.Order.Archimedean.Class
Cited by
3 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommGroupLinearOrderIsOrderedAddMonoid

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Cited by3

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