instContinuousMulULift — Mathlib

English

ULift of a topological monoid M inherits a topological monoid structure with continuous multiplication.

Русский

ULift M топологической моноиды наследует топологическую моноидную структуру с непрерывным умножением.

LaTeX

$$$\text{ContinuousMul}(\mathrm{ULift}(M))$$$

Lean4

@[to_additive]
instance : ContinuousMul (ULift.{u} M) := by
  constructor
  apply continuous_uliftUp.comp
  exact continuous_mul.comp₂ (continuous_uliftDown.comp continuous_fst) (continuous_uliftDown.comp continuous_snd)

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