instMulActionOfContinuousConstSMul

English

Under SMul R M and SMul Rᵐᵒᵖ M with ContinuousConstSMul and IsCentralScalar, C(α, M) inherits IsCentralScalar with op_smul_eq_smul.

Русский

При SMul R M и SMul Rᵐᵒᵖ M и условий ContinuousConstSMul, IsCentralScalar держится на C(α, M).

LaTeX

$$$ IsCentralScalar R (C(\alpha, M)). $$$

Lean4

instance [Monoid R] [MulAction R M] [ContinuousConstSMul R M] : MulAction R C(α, M) :=
  Function.Injective.mulAction _ coe_injective coe_smul

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