Theorems · Theorem · commutative algebra
multiplicity_of_unit_right
∀ {α : Type u_1} [inst : CommMonoid α] {a : α}, ¬IsUnit a → ∀ (u : αˣ), multiplicity a ↑u = 0- Defined in
- Mathlib.RingTheory.Multiplicity
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoid
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Unitsstatement and proof · cited by 2,804
- CommMonoidstatement and proof · cited by 2,264
- Units.valstatement · cited by 1,966
- IsUnitstatement and proof · cited by 1,602
- multiplicitystatement · cited by 117
- Units.isUnitproof · cited by 116
- multiplicity_of_isUnit_rightproof · cited by 2
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