Theorems · Theorem · commutative algebra
emultiplicity_add_eq_min
∀ {α : Type u_1} [inst : Ring α] {p a b : α},
emultiplicity p a ≠ emultiplicity p b → emultiplicity p (a + b) = min (emultiplicity p a) (emultiplicity p b)- Defined in
- Mathlib.RingTheory.Multiplicity
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- ENatstatement and proof · cited by 4,985
- add_commproof · cited by 1,535
- le_of_ltproof · cited by 1,175
- lt_trichotomyproof · cited by 178
- emultiplicitystatement and proof · cited by 156
- min_eq_leftproof · cited by 67
- min_eq_rightproof · cited by 54
- emultiplicity_add_of_gtproof · cited by 3
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