Theorems · Theorem · commutative algebra
wellFounded_dvdNotUnit
∀ {α : Type u_2} [inst : CommMonoidWithZero α] [h : WfDvdMonoid α], WellFounded DvdNotUnit- Cited by
- 7 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidWithZerostatement and proof · cited by 913
- IsWellFounded.wfproof · cited by 43
- WfDvdMonoidstatement and proof · cited by 37
- DvdNotUnitstatement · cited by 33
Cited by7
Results whose statement or proof uses this declaration.
- WfDvdMonoid.exists_irreducible_factorproof · cited by 12
- WfDvdMonoid.induction_on_irreducibleproof · cited by 5
- WfDvdMonoid.max_power_factor'proof · cited by 2
- Ideal.setOfPred_isPrincipal_wellFoundedOn_gtproof · cited by 1
- WfDvdMonoid.of_wfDvdMonoid_associatesproof · cited by 1
- WfDvdMonoid.wellFoundedLT_associatesproof · cited by 1
- Valuation.Integers.wfDvdMonoid_iff_wellFounded_gt_on_vproof · cited by 1