Theorems · Theorem · commutative algebra
multiplicity_of_one_right
∀ {α : Type u_1} [inst : CommMonoid α] {a : α}, ¬IsUnit a → multiplicity a 1 = 0- Defined in
- Mathlib.RingTheory.Multiplicity
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 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.
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 and proof · cited by 1,602
- multiplicitystatement · cited by 117
- isUnit_oneproof · cited by 48
- multiplicity_of_isUnit_rightproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- irrational_nrt_of_n_not_dvd_multiplicityproof · cited by 1