Theorem mul11 | index | src |

theorem mul11 (a: nat): $ 1 * a = a $;
StepHypRefExpression
1 eqtr
1 * a = a * 1 -> a * 1 = a -> 1 * a = a
2 mulcom
1 * a = a * 1
3 1, 2 ax_mp
a * 1 = a -> 1 * a = a
4 mul12
a * 1 = a
5 3, 4 ax_mp
1 * a = 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, muleq, add0, addS, mul0, mulS)