addOppositeEquiv_symm_support — Mathlib

English

The orderTop after inverting via symmetry equals the symmetric version's orderTop.

Русский

orderTop после обращения через симметрику равен orderTop симметричной версии.

LaTeX

$$$$ (addOppositeEquiv.symm x).orderTop = x.unop.orderTop. $$$$

Lean4

@[simp]
theorem addOppositeEquiv_symm_support (x : (HahnSeries Γ R)ᵃᵒᵖ) : (addOppositeEquiv.symm x).support = x.unop.support :=
  by rw [← addOppositeEquiv_support, AddEquiv.apply_symm_apply]

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