Section Composition.
Variables X Y Z: Type.
Variable TX: reduction_t A X.
Variable TY: reduction_t A Y.
Variable TZ: reduction_t A Z.
Variable R: relation2 X Y.
Variable S: relation2 Y Z.

Lemma expansion1_comp: expansion1 TX TY R -> expansion1 TY TZ S -> expansion1 TX TZ (comp R S).