flip_iff — Mathlib

English

The flip operation yields an equivalence of the IsPerfectCompl condition: p.flip IsPerfectCompl V U iff p IsPerfectCompl U V.

Русский

Поворот (flip) сохраняет условие IsPerfectCompl: p.flip IsPerfectCompl V U равно p IsPerfectCompl U V.

LaTeX

$$$p.\text{flip.Iff } V U: p.\text{flip.IsPerfectCompl } V U \iff p.IsPerfectCompl U V$.$$

Lean4

@[simp]
protected theorem flip_iff : p.flip.IsPerfectCompl V U ↔ p.IsPerfectCompl U V :=
  ⟨fun h ↦ h.flip, fun h ↦ h.flip⟩

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