Theorems · Theorem · commutative algebra
multiplicity_eq_of_emultiplicity_eq
∀ {α : Type u_1} {β : Type u_2} [inst : Monoid α] [inst_1 : Monoid β] {a b : α} {c d : β},
emultiplicity a b = emultiplicity c d → multiplicity a b = multiplicity c d- Defined in
- Mathlib.RingTheory.Multiplicity
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- ENatstatement and proof · cited by 4,985
- Monoidstatement and proof · cited by 3,887
- emultiplicitystatement and proof · cited by 156
- multiplicitystatement · cited by 117
- WithTop.untopDproof · cited by 33
Cited by8
Results whose statement or proof uses this declaration.
- FiniteMultiplicity.multiplicity_add_of_gtproof · cited by 2
- multiplicity_negproof · cited by 1
- Int.natCast_multiplicityproof · cited by 1
- Int.multiplicity_natAbsproof · cited by 1
- multiplicity_map_eqproof · cited by 1
- multiplicity_eq_of_associated_leftproof · cited by 0
- multiplicity_eq_of_associated_rightproof · cited by 0