add_tprodCoeff' — Mathlib

English

Two tprodCoeff terms with z1 and z2 add to a tprodCoeff with z1+z2, reflecting linearity in the scalar component.

Русский

Два выражения tprodCoeff с z1 и z2 складываются в tprodCoeff с z1+z2, отражая линейность по скаляру.

LaTeX

$$tprodCoeff(R,z1,f) + tprodCoeff(R,z2,f) = tprodCoeff(R,z1+z2,f)$$

Lean4

theorem add_tprodCoeff' (z₁ z₂ : R) (f : Π i, s i) : tprodCoeff R z₁ f + tprodCoeff R z₂ f = tprodCoeff R (z₁ + z₂) f :=
  Quotient.sound' <| AddConGen.Rel.of _ _ (Eqv.of_add_scalar z₁ z₂ f)

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