instSMulCommClassSubtypeMemSubmonoid

English

There is a SMulCommClass between unitary(R), unitary(S), and unitary(A) under the ambient SMulCommClass assumptions.

Русский

Существует SMulCommClass между unitary(R), unitary(S) и unitary(A) при предпосылках о совместности скаляров.

LaTeX

$$$\\text{SMulCommClass}(\\mathrm{unitary}(R), \\mathrm{unitary}(S), \\mathrm{unitary}(A))$$$

Lean4

instance [SMulCommClass R S A] : SMulCommClass (unitary R) (unitary S) (unitary A) where
  smul_comm _ _ _ := Subtype.ext <| smul_comm _ (_ : S) (_ : A)

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