Theorems · Definition · order theory
MulArchimedeanClass.mk
{M : Type u_1} →
[inst : CommGroup M] → [inst_1 : LinearOrder M] → [inst_2 : IsOrderedMonoid M] → M → MulArchimedeanClass MThe archimedean class of a given element.
- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 63 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- LinearOrderstatement and proof · cited by 8,572
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- MulArchimedeanClassstatement · cited by 81
- toAntisymmetrizationproof · cited by 12
- MulArchimedeanOrderproof · cited by 7
- MulArchimedeanOrder.ofproof · cited by 5
Cited by68
Results whose statement or proof uses this declaration.
- FiniteMulArchimedeanClass.mkproof · cited by 14
- MulArchimedeanClass.mk_invstatement · cited by 9
- MulArchimedeanClass.mk_eq_mkstatement · cited by 6
- MulArchimedeanClass.mk_lt_mkstatement · cited by 6
- MulArchimedeanClass.subsemigroupproof · cited by 5
- MulArchimedeanClass.min_le_mk_mulstatement and proof · cited by 4
- MulArchimedeanClass.mk_eq_top_iffstatement and proof · cited by 3
- MulArchimedeanClass.mk_left_le_mk_mulstatement and proof · cited by 3
- MulArchimedeanClass.mk_mul_eq_mk_leftstatement and proof · cited by 3
- MulArchimedeanClass.orderHom_mkstatement · cited by 3
- MulArchimedeanClass.liftstatement and proof · cited by 3
- MulArchimedeanClass.mk_left_le_mk_divstatement and proof · cited by 2