Theorems · Theorem · order theory
ArchimedeanOrder.le_def
∀ {M : Type u_1} [inst : AddGroup M] [inst_1 : Lattice M] {a b : ArchimedeanOrder M},
a ≤ b ↔ ∃ n, |ArchimedeanOrder.val b| ≤ n • |ArchimedeanOrder.val a|- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement · cited by 8,337
- AddGroupstatement and proof · cited by 4,410
- absstatement · cited by 1,814
- Latticestatement and proof · cited by 916
- ArchimedeanOrder.valstatement · cited by 9
- ArchimedeanOrderstatement and proof · cited by 7
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