instSMulCommClass — Mathlib

English

The SMul and commutation structures lift to ZeroHom: SMulCommClass M N (ZeroHom A B) whenever there are SMulZeroClass M B, SMulZeroClass N B and IsSMulComm.

Русский

Структуры SMul и коммутации поднимаются на ZeroHom: SMulCommClass M N (ZeroHom A B) при наличии SMulZeroClass M B, SMulZeroClass N B и IsScalarComm.

LaTeX

$$[SMulZeroClass M B] [SMulZeroClass N B] [SMulCommClass M N B] : SMulCommClass M N (ZeroHom A B)$$

Lean4

instance [SMulZeroClass M B] [SMulZeroClass N B] [SMulCommClass M N B] : SMulCommClass M N (ZeroHom A B) where
  smul_comm _ _ _ := ext fun _ => smul_comm _ _ _

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