(px1 : a01 = a11) (p0x : a00 = a01) (p1x : a10 = a11) : {px0 : a00 = a10 & PathSquare px0 px1 p0x p1x}. Proof. exists (p0x @ px1 @ p1x^). by destruct px1, p0x, p1x. Defined.
Require Import Basics. Require Import Types.Paths Types.Prod. Require Import DPath. Section PathSquaresFromPaths. End PathSquaresFromPaths.