Section mCoef.
Load "hCoefStructure".
Load "mCoefStructure".
Let eqA_trans := eqA_trans _ _ _ _ _ _ _ _ _ cs.
Let eqA_sym := eqA_sym _ _ _ _ _ _ _ _ _ cs.
intros a b H H1; apply eqA_trans with (y := a); auto.
Qed.
intros a b c H'; auto.
Qed.

Theorem plusA_eqA_comp_r :
forall a b c : A, eqA a b -> eqA (plusA c a) (plusA c b).