funext — Mathlib

English

Composition of LHom with sumElim distributes as sumElim of compositions.

Русский

СуммированноеElim сохраняет композицию как сумма-композиций.

LaTeX

$$$\theta \circ_L (\varphi.sumElim \psi) = (\theta \circ_L \varphi).sumElim (\theta \circ_L \psi)$$$

Lean4

@[ext]
protected theorem funext {F G : L →ᴸ L'} (h_fun : F.onFunction = G.onFunction) (h_rel : F.onRelation = G.onRelation) :
    F = G := by
  obtain ⟨Ff, Fr⟩ := F
  obtain ⟨Gf, Gr⟩ := G
  simp only [mk.injEq]
  exact And.intro h_fun h_rel

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