distribMulAction — Mathlib

English

If R is a Monoid, α AddMonoid and DistribMulAction R α holds, then Matrix m n α carries DistribMulAction R.

Русский

Если R — моноид, α — AddMonoid, и выполняется DistribMulAction R α, то Matrix m n α имеет DistribMulAction.

LaTeX

$$$ [Monoid\ R] [AddMonoid\ α] [DistribMulAction\ R\ α] \Rightarrow DistribMulAction\ R (Matrix\ m\ n\ α) $$$

Lean4

instance distribMulAction [Monoid R] [AddMonoid α] [DistribMulAction R α] : DistribMulAction R (Matrix m n α) :=
  Pi.distribMulAction _

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