mulLeft₀ — Mathlib

English

Right multiplication by a nonzero element with continuous multiplication is a homeomorphism of the space.

Русский

Правое умножение на ненулевой элемент с непрерывным умножением образует домашеморфизм пространства.

LaTeX

$$protected def mulRight₀ (c : α) (hc : c ≠ 0) : α ≃ₜ α$$

Lean4

/-- Left multiplication by a nonzero element in a `GroupWithZero` with continuous multiplication
is a homeomorphism of the underlying type. -/
protected def mulLeft₀ (c : α) (hc : c ≠ 0) : α ≃ₜ α :=
  { Equiv.mulLeft₀ c hc with
    continuous_toFun := continuous_mul_left _
    continuous_invFun := continuous_mul_left _ }

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