rTensor_exact — Mathlib

English

Tensoring an exact pair on the right yields an exact pair on the left; the equivalence lTensor.equiv lifts exactness across tensoring with Q.

Русский

Точная пара справа сохраняется слева через эквив. экваив.

LaTeX

$$rTensor_exact : Exact (rTensor Q f) (rTensor Q g) ⇔ lTensor_exact Q hfg hg$$

Lean4

/-- Tensoring an exact pair on the right gives an exact pair -/
theorem rTensor_exact : Exact (rTensor Q f) (rTensor Q g) :=
  by
  rw [rTensor_exact_iff_lTensor_exact]
  exact lTensor_exact Q hfg hg

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