Theorems · Theorem · commutative algebra
le_emultiplicity_map
∀ {α : Type u_1} {β : Type u_2} [inst : Monoid α] [inst_1 : Monoid β] {F : Type u_3} [inst_2 : FunLike F α β]
[MonoidHomClass F α β] (f : F) {a b : α}, emultiplicity a b ≤ emultiplicity (f a) (f b)- Defined in
- Mathlib.RingTheory.Multiplicity
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- ENatstatement · cited by 4,985
- Monoidstatement and proof · cited by 3,887
- FunLikestatement and proof · cited by 2,560
- map_powproof · cited by 503
- MonoidHomClassstatement and proof · cited by 244
- emultiplicitystatement · cited by 156
- map_dvdproof · cited by 44
- emultiplicity_le_emultiplicity_iffproof · cited by 7
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