Theorems · Theorem · commutative algebra
ClassGroup.mk0_surjective
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : IsDomain R] [inst_2 : IsDedekindDomain R],
Function.Surjective ⇑ClassGroup.mk0- Defined in
- Mathlib.RingTheory.ClassGroup.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Idealstatement · cited by 4,748
- MonoidHomstatement · cited by 3,629
- Submonoidstatement · cited by 3,086
- Unitsproof · cited by 2,804
- IsDomainstatement and proof · cited by 2,196
- Units.valproof · cited by 1,966
- nonZeroDivisorsstatement and proof · cited by 895
- IsDedekindDomainstatement and proof · cited by 668
- FractionalIdealproof · cited by 423
- FractionRingproof · cited by 200
Cited by5
Results whose statement or proof uses this declaration.
- NumberField.Ideal.tendsto_norm_le_and_mk_eq_div_atTopproof · cited by 1
- NumberField.exists_ideal_in_class_of_norm_leproof · cited by 1
- ClassGroup.extendedHom_comp_applyproof · cited by 1
- ClassGroup.mkMMem_surjectiveproof · cited by 0
- ClassGroup.extendedHom_eq_one_of_forall_isPrincipalproof · cited by 0