theorem alimi {x: nat} (a b: wff x): $ a -> b $ > $ A. x a -> A. x b $;
| Step | Hyp | Ref | Expression |
|---|
| 1 |
|
ax_4 |
A. x (a -> b) -> A. x a -> A. x b |
| 2 |
|
hyp h |
a -> b |
| 3 |
2 |
ax_gen |
A. x (a -> b) |
| 4 |
1, 3 |
ax_mp |
A. x a -> A. x b |
Axiom use
axs_prop_calc
(ax_mp),
axs_pred_calc
(ax_gen,
ax_4)