mul — Mathlib

English

The continuous homomorphism given by multiplication on a commutative monoid E defines a homomorphism from (E × E) to E by (x,y) ↦ x·y.

Русский

Проявление умножения на пары: (x,y) ↦ x·y.

LaTeX

$$$mul: (E \\times E) \\to_* E$$$

Lean4

/-- The continuous homomorphism given by multiplication. -/
@[to_additive (attr := simps!) /-- The continuous homomorphism given by addition. -/
    ]
def mul : (E × E) →ₜ* E :=
  ⟨mulMonoidHom, continuous_mul⟩

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