Theorem lebool ≪ | index | src | ≫

theorem lebool (a b: nat): $ a <= b -> bool b -> bool a $;

Step	Hyp	Ref	Expression
1		lelttr	a <= b -> b < 2 -> a < 2
2	1	conv bool	a <= b -> bool b -> bool a

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)