bcount — Mathlib

English

The product of the sum of two factor sets equals the product of the sums: (a + b).prod = a.prod * b.prod.

Русский

Произведение суммы двух множества факторов равно произведению их произведений.

LaTeX

$$$\mathrm{prod}(a + b) = \mathrm{prod}(a) \cdot \mathrm{prod}(b)$$$

Lean4

/-- `bcount p s` is the multiplicity of `p` in the FactorSet `s` (with bundled `p`). -/
def bcount (p : { a : Associates α // Irreducible a }) : FactorSet α → ℕ
  | ⊤ => 0
  | WithTop.some s => s.count p

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