theorem eqstr3 (A B C: set): $ B == A -> B == C -> A == C $;
| Step | Hyp | Ref | Expression |
|---|
| 1 |
|
eqstr |
A == B -> B == C -> A == C |
| 2 |
|
eqscom |
B == A -> A == B |
| 3 |
1, 2 |
syl |
B == A -> B == C -> A == C |
Axiom use
axs_prop_calc
(ax_1,
ax_2,
ax_3,
ax_mp),
axs_pred_calc
(ax_gen,
ax_4)