instContinuousSMul — Mathlib

English

If S acts on R and M with continuous scalar multiplication, then tsze R M carries a continuous scalar action.

Русский

Если S действует на R и M скаляльно непрерывно, то tsze R M имеет непрерывное скаляровое действие.

LaTeX

$$$\\operatorname{ContinuousSMul}(S, \\mathrm{tsze}(R,M))$$$

Lean4

instance [TopologicalSpace S] [SMul S R] [SMul S M] [ContinuousSMul S R] [ContinuousSMul S M] :
    ContinuousSMul S (tsze R M) :=
  Prod.continuousSMul

Похожие утверждения