instIsScalarTower — Mathlib

English

IsScalarTower holds for AddMonoidHom A B with SMul M N and DistribSMul M B, DistribSMul N B.

Русский

IsScalarTower выполняется для AddMonoidHom A B с SMul M N и DistribSMul M B, DistribSMul N B.

LaTeX

$$[SMul M N] [DistribSMul M B] [DistribSMul N B] [IsScalarTower M N B] : IsScalarTower M N (A →+ B)$$

Lean4

instance [SMul M N] [DistribSMul M B] [DistribSMul N B] [IsScalarTower M N B] : IsScalarTower M N (A →+ B) where
  smul_assoc _ _ _ := ext fun _ => smul_assoc _ _ _

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