Theorems · Definition · order theory

HahnEmbedding.ArchimedeanStrata.baseDomain

{K : Type u_1} →
  [inst : DivisionRing K] →
    [inst_1 : LinearOrder K] →
      [inst_2 : IsOrderedRing K] →
        [inst_3 : Archimedean K] →
          {M : Type u_2} →
            [inst_4 : AddCommGroup M] →
              [inst_5 : LinearOrder M] →
                [inst_6 : IsOrderedAddMonoid M] →
                  [inst_7 : Module K M] →
                    [inst_8 : IsOrderedModule K M] → HahnEmbedding.ArchimedeanStrata K M → Submodule K M

The minimal submodule that contains all strata. This is the domain of our "base" embedding into Hahn series, which we will extend into a full embedding.

Defined in

Mathlib.Algebra.Order.Module.HahnEmbedding

Cited by

4 results in Mathlib

Foundations

Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DivisionRingLinearOrderIsOrderedRingArchimedeanAddCommGroupLinearOrderIsOrderedAddMonoidModuleIsOrderedModule