leftFixedPoints — Mathlib

English

LeftFixedPoints is the set of J ⊆ α such that R.rightDual(R.leftDual(J)) = J.

Русский

LeftFixedPoints — множество J ⊆ α, удовлетворяющих R.rightDual(R.leftDual(J)) = J.

LaTeX

$$$\mathrm{leftFixedPoints} = \{ J \subseteq \alpha \mid R.\mathrm{rightDual}(R.\mathrm{leftDual} J) = J \}.$$$

Lean4

/-- `leftFixedPoints` is the set of elements `J : Set α` satisfying `rightDual (leftDual J) = J`. -/
def leftFixedPoints :=
  {J : Set α | R.rightDual (R.leftDual J) = J}

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