Theorem leb1tr ≪ | index | src | ≫ 

theorem leb1tr (a b: nat): $ a <= b $ > $ a <= b1 b $;
StepHypRefExpression
1 ltle 
a < b1 b -> a <= b1 b
2 hyp h 
a <= b
3 2 ltb1tr 
a < b1 b
4 1, 3 ax_mp 
a <= b1 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, add0, addS)