IsAdjointPair — Mathlib

English

Simp lemma about negation under IsAlt (orthogonality-related statement).

Русский

Простая лемма о отрицании при IsAlt (связь ортогональности).

LaTeX

$$$\text{IsAlt}(B) \Rightarrow \text{neg-simp}$$$

Lean4

/-- Given a pair of modules equipped with bilinear maps, this is the condition for a pair of
maps between them to be mutually adjoint. -/
def IsAdjointPair (f : M → M₁) (g : M₁ → M) :=
  ∀ x y, B' (f x) y = B x (g y)

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