hasLeftDerivedFunctor_iff_of_iso — Mathlib

English

Associativity-like property for leftDerivedNatTrans: associativity of composition holds up to equality.

Русский

Связь по ассоциации для leftDerivedNatTrans: композиции ведут к равенству.

LaTeX

$$$$ (LF''.leftDerivedNatTrans LF' α'' α' W τ') \\; \\circ (LF'.leftDerivedNatTrans LF α' α W τ) \\\\ = \\\\ LF''.leftDerivedNatTrans LF α'' α W (τ' \\circ τ). $$$$

Lean4

theorem hasLeftDerivedFunctor_iff_of_iso : HasLeftDerivedFunctor F W ↔ HasLeftDerivedFunctor F' W := by
  rw [hasLeftDerivedFunctor_iff F W.Q W, hasLeftDerivedFunctor_iff F' W.Q W, hasRightExtension_iff_of_iso₂ W.Q e]

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