Theorems · Theorem · order theory
ArchimedeanClass.mk_eq_mk_of_archimedean
∀ {M : Type u_1} [inst : AddCommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedAddMonoid M] {a b : M}
[Archimedean M], a ≠ 0 → b ≠ 0 → ArchimedeanClass.mk a = ArchimedeanClass.mk b- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- absproof · cited by 1,814
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Archimedeanstatement and proof · cited by 603
- ArchimedeanClassstatement · cited by 247
- ArchimedeanClass.mkstatement · cited by 174
- abs_posproof · cited by 45
- Archimedean.archproof · cited by 19
- ArchimedeanClass.mk_eq_mkproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- ArchimedeanClass.mk_eq_zero_of_archimedeanproof · cited by 2