postcomp_comp — Mathlib

English

Postcomposition respects composition: postcomp(g ∘ f) = (postcomp f).postcomp g.

Русский

Посткомпозиция сохраняет составление: postcomp(g ∘ f) = (postcomp f) ∘ postcomp g.

LaTeX

$$$\text{solution.postcomp} (g \circ f) = (\text{solution.postcomp} f).\text{postcomp} g$$$

Lean4

@[simp]
theorem postcomp_comp {N' : Type v''} [AddCommGroup N'] [Module A N'] (g : N →ₗ[A] N') :
    solution.postcomp (g.comp f) = (solution.postcomp f).postcomp g :=
  rfl

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