Theorems · Theorem · order theory
ArchimedeanClass.mk_surjective
∀ (M : Type u_1) [inst : AddCommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedAddMonoid M], Function.Surjective ArchimedeanClass.mk
- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- ArchimedeanClassstatement · cited by 247
- ArchimedeanClass.mkstatement · cited by 174
- Quotient.mk_surjectiveproof · cited by 16
Cited by3
Results whose statement or proof uses this declaration.
- ArchimedeanClass.addSubgroup_strictAntiOnproof · cited by 1
- ArchimedeanClass.subsemigroup_strictAntiproof · cited by 1
- ArchimedeanClass.range_mkproof · cited by 1