Theorem shlpow2dvd | index | src |

theorem shlpow2dvd (a b: nat): $ 2 ^ b || shl a b $;
StepHypRefExpression
1 dvdmul1
2 ^ b || a * 2 ^ b
2 1 conv shl
2 ^ b || shl a b

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp), axs_pred_calc (ax_gen, ax_4, ax_5, ax_6, ax_7, ax_12), axs_peano (muleq)