Theorems · Theorem · commutative algebra
FiniteMultiplicity.not_isUnit
∀ {α : Type u_1} [inst : Monoid α] {a b : α}, FiniteMultiplicity a b → ¬IsUnit a- Defined in
- Mathlib.RingTheory.Multiplicity
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
- Assumes
- Monoid
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.
- Monoidstatement and proof · cited by 3,887
- IsUnitstatement and proof · cited by 1,602
- FiniteMultiplicitystatement and proof · cited by 73
- IsUnit.powproof · cited by 48
- IsUnit.dvdproof · cited by 13
Cited by3
Results whose statement or proof uses this declaration.
- multiplicity_selfproof · cited by 2
- FiniteMultiplicity.not_of_isUnit_leftproof · cited by 1
- FiniteMultiplicity.not_unitproof · cited by 0