gradedMul_def — Mathlib

English

The product of two tmuls under gradedMul expands as a twisted tmul with a sign depending on degrees.

Русский

Произведение двух tmul под gradedMul разворачивается в twisted tmul с знаком в зависимости от степеней.

LaTeX

$$$$ gradedMul_R( a_1 \otimes b_1, a_2 \otimes b_2 ) = (-1)^{j_1 i_2} (a_1 a_2) \otimes (b_1 b_2). $$$$

Lean4

theorem gradedMul_def : eta_helper Eq✝ @gradedMul.{} @(delta% @definition✝) :=
  by
  intros
  delta gradedMul
  rw [show wrapped✝ = ⟨@definition✝.{}, rfl✝⟩ from Subtype.ext✝ wrapped✝.2.symm✝]
  rfl

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