empty — Mathlib

English

The map sumEmpty toEquiv equals Equiv.sumEmpty on the underlying types.

Русский

Отображение toEquiv sumEmpty равно Equiv.sumEmpty на базовых типах.

LaTeX

$$$ sumEmpty_toEquiv [IsEmpty M'] : (sumEmpty I M n).toEquiv = Equiv.sumEmpty M M' $$$

Lean4

/-- The unique diffeomorphism between two empty types -/
protected def empty [IsEmpty M] [IsEmpty M'] : Diffeomorph I I M M' n
    where
  __ := Equiv.equivOfIsEmpty M M'
  contMDiff_toFun x := (IsEmpty.false x).elim
  contMDiff_invFun x := (IsEmpty.false x).elim

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