Theorems · Theorem · commutative algebra
emultiplicity_of_isUnit_right
∀ {α : Type u_1} [inst : CommMonoid α] {a b : α}, ¬IsUnit a → IsUnit b → emultiplicity a b = 0- Defined in
- Mathlib.RingTheory.Multiplicity
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoid
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.
- ENatstatement · cited by 4,985
- CommMonoidstatement and proof · cited by 2,264
- IsUnitstatement and proof · cited by 1,602
- emultiplicitystatement · cited by 156
- isUnit_of_dvd_unitproof · cited by 22
- emultiplicity_eq_zeroproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- emultiplicity_of_one_rightproof · cited by 3
- emultiplicity_of_unit_rightproof · cited by 0