Theorem zdvdtr ≪ | index | src | ≫

theorem zdvdtr (a b c: nat): $ a |Z b -> b |Z c -> a |Z c $;

Step	Hyp	Ref	Expression
1		dvdtr	zabs a \|\| zabs b -> zabs b \|\| zabs c -> zabs a \|\| zabs c
2	1	conv zdvd	a \|Z b -> b \|Z c -> a \|Z c

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp, itru), axs_pred_calc (ax_gen, ax_4, ax_5, ax_6, ax_7, ax_10, ax_11, ax_12), axs_peano (peano2, peano5, addeq, muleq, add0, addS, mul0, mulS)