theorem shl11 (b: nat): $ shl 1 b = 2 ^ b $;
| Step | Hyp | Ref | Expression |
|---|
| 1 |
|
mul11 |
1 * 2 ^ b = 2 ^ b |
| 2 |
1 |
conv shl |
shl 1 b = 2 ^ b |
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)