Theorem d2dvd1 | index | src |

theorem d2dvd1: $ ~2 || 1 $;
StepHypRefExpression
1 d1ne0
1 != 0
2 1 a1i
2 || 1 -> 1 != 0
3 id
2 || 1 -> 2 || 1
4 2, 3 dvdle
2 || 1 -> 2 <= 1
5 ltnle
1 < 2 <-> ~2 <= 1
6 d1lt2
1 < 2
7 5, 6 mpbi
~2 <= 1
8 4, 7 mt
~2 || 1

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 (peano1, peano2, peano5, addeq, muleq, add0, addS, mul0, mulS)