Theorem b0mod2 | index | src |

theorem b0mod2 (n: nat): $ b0 n % 2 = 0 $;
StepHypRefExpression
1 modeq0
b0 n % 2 = 0 <-> 2 || b0 n
2 b0dvd2
2 || b0 n
3 1, 2 mpbir
b0 n % 2 = 0

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_set (elab, ax_8), axs_the (theid, the0), axs_peano (peano1, peano2, peano5, addeq, muleq, add0, addS, mul0, mulS)