Theorem dvdmul12 ≪ | index | src | ≫ 

theorem dvdmul12 (a b c: nat): $ a || b -> a || c * b $;
StepHypRefExpression
1 dvdmul1 
b || c * b
2 dvdtr 
a || b -> b || c * b -> a || c * b
3 1, 2 mpi 
a || b -> a || c * b

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)