compatibility — Mathlib

English

For every j, the extension at j is a Subsingleton under WellFoundedLT; i.e., there is a unique element.

Русский

Для каждого j extension в WellFoundedLT — это Subsingleton; уникальный элемент.

LaTeX

$$$\\text{Subsingleton}(d.Extension val_0 j)$$$

Lean4

theorem compatibility [WellFoundedLT J] {j : J} (e : d.Extension val₀ j) {i : J} (e' : d.Extension val₀ i) (h : i ≤ j) :
    F.map (homOfLE h).op e.val = e'.val :=
  by
  obtain rfl : e' = e.ofLE h := Subsingleton.elim _ _
  rfl

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