Theorems · Theorem · number theory
isUnit_iff_forall_dvd
∀ {α : Type u_1} [inst : CommMonoid α] {x : α}, IsUnit x ↔ ∀ (y : α), x ∣ y- Defined in
- Mathlib.Algebra.Divisibility.Units
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidstatement and proof · cited by 2,264
- IsUnitstatement · cited by 1,602
- Dvd.dvd.transproof · cited by 148
- one_dvdproof · cited by 37
- isUnit_iff_dvd_oneproof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.isUnit_iffproof · cited by 1