rid_eq_rid — Mathlib

English

The heterobasic congr with tmul satisfies distributive laws with respect to tmul.

Русский

Гетеробазовая congr с tmul удовлетворяет распределительным законам по tmul.

LaTeX

$$$\mathrm{congr\_tmul} : (f \otimes g) (m \otimes n) = f(m) \otimes g(n)$$$

Lean4

/-- The heterobasic version of `rid` coincides with the regular version. -/
theorem rid_eq_rid : AlgebraTensorModule.rid R R M = TensorProduct.rid R M :=
  rfl

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